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Finding the Third Proportional to 134,644 and 292,924

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Solution

The third proportional to 134,644 and 292,924 is: 637,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,644 : 292,924 = 292,924 : x
  2. Step 2: Convert to fraction form
    134,644/292,924 = 292,924/x
  3. Step 3: Cross multiply
    134,644x = 292,924 × 292,924
  4. Step 4: Simplify right side
    134,644x = 85,804,469,776
  5. Step 5: Solve for x
    x = 85,804,469,776/134,644
  6. Step 6: Final answer
    x = 637,269.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.