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Finding the Third Proportional to 151,429.50 and 220,097.25

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Solution

The third proportional to 151,429.50 and 220,097.25 is: 319,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429.50 : 220,097.25 = 220,097.25 : x
  2. Step 2: Convert to fraction form
    151,429.50/220,097.25 = 220,097.25/x
  3. Step 3: Cross multiply
    151,429.50x = 220,097.25 × 220,097.25
  4. Step 4: Simplify right side
    151,429.50x = 48,442,799,457.56
  5. Step 5: Solve for x
    x = 48,442,799,457.56/151,429.50
  6. Step 6: Final answer
    x = 319,903.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.