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Finding the Third Proportional to 116,787.50 and 255,385

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Solution

The third proportional to 116,787.50 and 255,385 is: 558,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,787.50 : 255,385 = 255,385 : x
  2. Step 2: Convert to fraction form
    116,787.50/255,385 = 255,385/x
  3. Step 3: Cross multiply
    116,787.50x = 255,385 × 255,385
  4. Step 4: Simplify right side
    116,787.50x = 65,221,498,225
  5. Step 5: Solve for x
    x = 65,221,498,225/116,787.50
  6. Step 6: Final answer
    x = 558,463.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.