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Finding the Third Proportional to 153,800.75 and 329,471.50

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Solution

The third proportional to 153,800.75 and 329,471.50 is: 705,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,800.75 : 329,471.50 = 329,471.50 : x
  2. Step 2: Convert to fraction form
    153,800.75/329,471.50 = 329,471.50/x
  3. Step 3: Cross multiply
    153,800.75x = 329,471.50 × 329,471.50
  4. Step 4: Simplify right side
    153,800.75x = 108,551,469,312.25
  5. Step 5: Solve for x
    x = 108,551,469,312.25/153,800.75
  6. Step 6: Final answer
    x = 705,792.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.