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Finding the Third Proportional to 139,552 and 297,776

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Solution

The third proportional to 139,552 and 297,776 is: 635,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,552 : 297,776 = 297,776 : x
  2. Step 2: Convert to fraction form
    139,552/297,776 = 297,776/x
  3. Step 3: Cross multiply
    139,552x = 297,776 × 297,776
  4. Step 4: Simplify right side
    139,552x = 88,670,546,176
  5. Step 5: Solve for x
    x = 88,670,546,176/139,552
  6. Step 6: Final answer
    x = 635,394.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.