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Finding the Third Proportional to 160,645.50 and 239,214.38

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Solution

The third proportional to 160,645.50 and 239,214.38 is: 356,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,645.50 : 239,214.38 = 239,214.38 : x
  2. Step 2: Convert to fraction form
    160,645.50/239,214.38 = 239,214.38/x
  3. Step 3: Cross multiply
    160,645.50x = 239,214.38 × 239,214.38
  4. Step 4: Simplify right side
    160,645.50x = 57,223,517,206.64
  5. Step 5: Solve for x
    x = 57,223,517,206.64/160,645.50
  6. Step 6: Final answer
    x = 356,209.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.