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Finding the Third Proportional to 147,711.38 and 322,157.25

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Solution

The third proportional to 147,711.38 and 322,157.25 is: 702,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,711.38 : 322,157.25 = 322,157.25 : x
  2. Step 2: Convert to fraction form
    147,711.38/322,157.25 = 322,157.25/x
  3. Step 3: Cross multiply
    147,711.38x = 322,157.25 × 322,157.25
  4. Step 4: Simplify right side
    147,711.38x = 103,785,293,727.56
  5. Step 5: Solve for x
    x = 103,785,293,727.56/147,711.38
  6. Step 6: Final answer
    x = 702,622.22

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Why These Related Problems?

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