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Finding the Third Proportional to 147,381 and 315,773.75

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Solution

The third proportional to 147,381 and 315,773.75 is: 676,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,381 : 315,773.75 = 315,773.75 : x
  2. Step 2: Convert to fraction form
    147,381/315,773.75 = 315,773.75/x
  3. Step 3: Cross multiply
    147,381x = 315,773.75 × 315,773.75
  4. Step 4: Simplify right side
    147,381x = 99,713,061,189.06
  5. Step 5: Solve for x
    x = 99,713,061,189.06/147,381
  6. Step 6: Final answer
    x = 676,566.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.