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Finding the Third Proportional to 123,298 and 266,020

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Solution

The third proportional to 123,298 and 266,020 is: 573,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,298 : 266,020 = 266,020 : x
  2. Step 2: Convert to fraction form
    123,298/266,020 = 266,020/x
  3. Step 3: Cross multiply
    123,298x = 266,020 × 266,020
  4. Step 4: Simplify right side
    123,298x = 70,766,640,400
  5. Step 5: Solve for x
    x = 70,766,640,400/123,298
  6. Step 6: Final answer
    x = 573,948.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.