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Finding the Third Proportional to 134,473 and 292,603

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Solution

The third proportional to 134,473 and 292,603 is: 636,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,473 : 292,603 = 292,603 : x
  2. Step 2: Convert to fraction form
    134,473/292,603 = 292,603/x
  3. Step 3: Cross multiply
    134,473x = 292,603 × 292,603
  4. Step 4: Simplify right side
    134,473x = 85,616,515,609
  5. Step 5: Solve for x
    x = 85,616,515,609/134,473
  6. Step 6: Final answer
    x = 636,681.83

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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.