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Finding the Third Proportional to 147,987 and 315,677.25

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Solution

The third proportional to 147,987 and 315,677.25 is: 673,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 315,677.25 = 315,677.25 : x
  2. Step 2: Convert to fraction form
    147,987/315,677.25 = 315,677.25/x
  3. Step 3: Cross multiply
    147,987x = 315,677.25 × 315,677.25
  4. Step 4: Simplify right side
    147,987x = 99,652,126,167.56
  5. Step 5: Solve for x
    x = 99,652,126,167.56/147,987
  6. Step 6: Final answer
    x = 673,384.33

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