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Finding the Third Proportional to 134,327 and 282,501

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Solution

The third proportional to 134,327 and 282,501 is: 594,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,327 : 282,501 = 282,501 : x
  2. Step 2: Convert to fraction form
    134,327/282,501 = 282,501/x
  3. Step 3: Cross multiply
    134,327x = 282,501 × 282,501
  4. Step 4: Simplify right side
    134,327x = 79,806,815,001
  5. Step 5: Solve for x
    x = 79,806,815,001/134,327
  6. Step 6: Final answer
    x = 594,123.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.