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Finding the Third Proportional to 132,219.84 and 285,480.07

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Solution

The third proportional to 132,219.84 and 285,480.07 is: 616,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,219.84 : 285,480.07 = 285,480.07 : x
  2. Step 2: Convert to fraction form
    132,219.84/285,480.07 = 285,480.07/x
  3. Step 3: Cross multiply
    132,219.84x = 285,480.07 × 285,480.07
  4. Step 4: Simplify right side
    132,219.84x = 81,498,870,545.63
  5. Step 5: Solve for x
    x = 81,498,870,545.63/132,219.84
  6. Step 6: Final answer
    x = 616,389.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.