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Finding the Third Proportional to 146,998.13 and 219,925.13

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Solution

The third proportional to 146,998.13 and 219,925.13 is: 329,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,998.13 : 219,925.13 = 219,925.13 : x
  2. Step 2: Convert to fraction form
    146,998.13/219,925.13 = 219,925.13/x
  3. Step 3: Cross multiply
    146,998.13x = 219,925.13 × 219,925.13
  4. Step 4: Simplify right side
    146,998.13x = 48,367,060,606.27
  5. Step 5: Solve for x
    x = 48,367,060,606.27/146,998.13
  6. Step 6: Final answer
    x = 329,031.82

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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.