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Finding the Third Proportional to 187,964.50 and 413,315

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Solution

The third proportional to 187,964.50 and 413,315 is: 908,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,964.50 : 413,315 = 413,315 : x
  2. Step 2: Convert to fraction form
    187,964.50/413,315 = 413,315/x
  3. Step 3: Cross multiply
    187,964.50x = 413,315 × 413,315
  4. Step 4: Simplify right side
    187,964.50x = 170,829,289,225
  5. Step 5: Solve for x
    x = 170,829,289,225/187,964.50
  6. Step 6: Final answer
    x = 908,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.