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Finding the Third Proportional to 123,448 and 265,850

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Solution

The third proportional to 123,448 and 265,850 is: 572,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,448 : 265,850 = 265,850 : x
  2. Step 2: Convert to fraction form
    123,448/265,850 = 265,850/x
  3. Step 3: Cross multiply
    123,448x = 265,850 × 265,850
  4. Step 4: Simplify right side
    123,448x = 70,676,222,500
  5. Step 5: Solve for x
    x = 70,676,222,500/123,448
  6. Step 6: Final answer
    x = 572,518.17

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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.