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Finding the Third Proportional to 137,464 and 291,776

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Solution

The third proportional to 137,464 and 291,776 is: 619,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,464 : 291,776 = 291,776 : x
  2. Step 2: Convert to fraction form
    137,464/291,776 = 291,776/x
  3. Step 3: Cross multiply
    137,464x = 291,776 × 291,776
  4. Step 4: Simplify right side
    137,464x = 85,133,234,176
  5. Step 5: Solve for x
    x = 85,133,234,176/137,464
  6. Step 6: Final answer
    x = 619,312.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.