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Finding the Third Proportional to 127,288.50 and 265,035

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Solution

The third proportional to 127,288.50 and 265,035 is: 551,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,288.50 : 265,035 = 265,035 : x
  2. Step 2: Convert to fraction form
    127,288.50/265,035 = 265,035/x
  3. Step 3: Cross multiply
    127,288.50x = 265,035 × 265,035
  4. Step 4: Simplify right side
    127,288.50x = 70,243,551,225
  5. Step 5: Solve for x
    x = 70,243,551,225/127,288.50
  6. Step 6: Final answer
    x = 551,845.23

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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.