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Finding the Third Proportional to 252,103.50 and 551,407.50

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Solution

The third proportional to 252,103.50 and 551,407.50 is: 1,206,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,103.50 : 551,407.50 = 551,407.50 : x
  2. Step 2: Convert to fraction form
    252,103.50/551,407.50 = 551,407.50/x
  3. Step 3: Cross multiply
    252,103.50x = 551,407.50 × 551,407.50
  4. Step 4: Simplify right side
    252,103.50x = 304,050,231,056.25
  5. Step 5: Solve for x
    x = 304,050,231,056.25/252,103.50
  6. Step 6: Final answer
    x = 1,206,053.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.