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Finding the Third Proportional to 160,459.31 and 224,319.38

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Solution

The third proportional to 160,459.31 and 224,319.38 is: 313,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,459.31 : 224,319.38 = 224,319.38 : x
  2. Step 2: Convert to fraction form
    160,459.31/224,319.38 = 224,319.38/x
  3. Step 3: Cross multiply
    160,459.31x = 224,319.38 × 224,319.38
  4. Step 4: Simplify right side
    160,459.31x = 50,319,182,000.39
  5. Step 5: Solve for x
    x = 50,319,182,000.39/160,459.31
  6. Step 6: Final answer
    x = 313,594.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.