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Finding the Third Proportional to 123,730 and 266,616

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Solution

The third proportional to 123,730 and 266,616 is: 574,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,730 : 266,616 = 266,616 : x
  2. Step 2: Convert to fraction form
    123,730/266,616 = 266,616/x
  3. Step 3: Cross multiply
    123,730x = 266,616 × 266,616
  4. Step 4: Simplify right side
    123,730x = 71,084,091,456
  5. Step 5: Solve for x
    x = 71,084,091,456/123,730
  6. Step 6: Final answer
    x = 574,509.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.