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Finding the Third Proportional to 147,829.50 and 237,121.88

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Solution

The third proportional to 147,829.50 and 237,121.88 is: 380,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,829.50 : 237,121.88 = 237,121.88 : x
  2. Step 2: Convert to fraction form
    147,829.50/237,121.88 = 237,121.88/x
  3. Step 3: Cross multiply
    147,829.50x = 237,121.88 × 237,121.88
  4. Step 4: Simplify right side
    147,829.50x = 56,226,783,603.52
  5. Step 5: Solve for x
    x = 56,226,783,603.52/147,829.50
  6. Step 6: Final answer
    x = 380,348.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.