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Finding the Third Proportional to 147,985.31 and 319,619.25

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Solution

The third proportional to 147,985.31 and 319,619.25 is: 690,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,985.31 : 319,619.25 = 319,619.25 : x
  2. Step 2: Convert to fraction form
    147,985.31/319,619.25 = 319,619.25/x
  3. Step 3: Cross multiply
    147,985.31x = 319,619.25 × 319,619.25
  4. Step 4: Simplify right side
    147,985.31x = 102,156,464,970.56
  5. Step 5: Solve for x
    x = 102,156,464,970.56/147,985.31
  6. Step 6: Final answer
    x = 690,314.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.