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Finding the Third Proportional to 147,332.25 and 321,651.56

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Solution

The third proportional to 147,332.25 and 321,651.56 is: 702,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,332.25 : 321,651.56 = 321,651.56 : x
  2. Step 2: Convert to fraction form
    147,332.25/321,651.56 = 321,651.56/x
  3. Step 3: Cross multiply
    147,332.25x = 321,651.56 × 321,651.56
  4. Step 4: Simplify right side
    147,332.25x = 103,459,727,658.69
  5. Step 5: Solve for x
    x = 103,459,727,658.69/147,332.25
  6. Step 6: Final answer
    x = 702,220.51

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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.