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Finding the Third Proportional to 123,430 and 269,160

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Solution

The third proportional to 123,430 and 269,160 is: 586,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,430 : 269,160 = 269,160 : x
  2. Step 2: Convert to fraction form
    123,430/269,160 = 269,160/x
  3. Step 3: Cross multiply
    123,430x = 269,160 × 269,160
  4. Step 4: Simplify right side
    123,430x = 72,447,105,600
  5. Step 5: Solve for x
    x = 72,447,105,600/123,430
  6. Step 6: Final answer
    x = 586,948.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.