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Finding the Third Proportional to 127,210.50 and 264,885.19

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Solution

The third proportional to 127,210.50 and 264,885.19 is: 551,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,210.50 : 264,885.19 = 264,885.19 : x
  2. Step 2: Convert to fraction form
    127,210.50/264,885.19 = 264,885.19/x
  3. Step 3: Cross multiply
    127,210.50x = 264,885.19 × 264,885.19
  4. Step 4: Simplify right side
    127,210.50x = 70,164,162,556.91
  5. Step 5: Solve for x
    x = 70,164,162,556.91/127,210.50
  6. Step 6: Final answer
    x = 551,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.