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Finding the Third Proportional to 147,087.38 and 321,148.50

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Solution

The third proportional to 147,087.38 and 321,148.50 is: 701,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,087.38 : 321,148.50 = 321,148.50 : x
  2. Step 2: Convert to fraction form
    147,087.38/321,148.50 = 321,148.50/x
  3. Step 3: Cross multiply
    147,087.38x = 321,148.50 × 321,148.50
  4. Step 4: Simplify right side
    147,087.38x = 103,136,359,052.25
  5. Step 5: Solve for x
    x = 103,136,359,052.25/147,087.38
  6. Step 6: Final answer
    x = 701,191.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.