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Finding the Third Proportional to 242,755.50 and 538,566

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Solution

The third proportional to 242,755.50 and 538,566 is: 1,194,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,755.50 : 538,566 = 538,566 : x
  2. Step 2: Convert to fraction form
    242,755.50/538,566 = 538,566/x
  3. Step 3: Cross multiply
    242,755.50x = 538,566 × 538,566
  4. Step 4: Simplify right side
    242,755.50x = 290,053,336,356
  5. Step 5: Solve for x
    x = 290,053,336,356/242,755.50
  6. Step 6: Final answer
    x = 1,194,837.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.