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Finding the Third Proportional to 146,518.88 and 219,737.81

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Solution

The third proportional to 146,518.88 and 219,737.81 is: 329,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,518.88 : 219,737.81 = 219,737.81 : x
  2. Step 2: Convert to fraction form
    146,518.88/219,737.81 = 219,737.81/x
  3. Step 3: Cross multiply
    146,518.88x = 219,737.81 × 219,737.81
  4. Step 4: Simplify right side
    146,518.88x = 48,284,706,242.29
  5. Step 5: Solve for x
    x = 48,284,706,242.29/146,518.88
  6. Step 6: Final answer
    x = 329,545.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.