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Finding the Third Proportional to 176,380.50 and 387,877.50

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Solution

The third proportional to 176,380.50 and 387,877.50 is: 852,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,380.50 : 387,877.50 = 387,877.50 : x
  2. Step 2: Convert to fraction form
    176,380.50/387,877.50 = 387,877.50/x
  3. Step 3: Cross multiply
    176,380.50x = 387,877.50 × 387,877.50
  4. Step 4: Simplify right side
    176,380.50x = 150,448,955,006.25
  5. Step 5: Solve for x
    x = 150,448,955,006.25/176,380.50
  6. Step 6: Final answer
    x = 852,979.52

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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.