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Finding the Third Proportional to 152,701.88 and 328,816.13

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Solution

The third proportional to 152,701.88 and 328,816.13 is: 708,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,701.88 : 328,816.13 = 328,816.13 : x
  2. Step 2: Convert to fraction form
    152,701.88/328,816.13 = 328,816.13/x
  3. Step 3: Cross multiply
    152,701.88x = 328,816.13 × 328,816.13
  4. Step 4: Simplify right side
    152,701.88x = 108,120,044,060.02
  5. Step 5: Solve for x
    x = 108,120,044,060.02/152,701.88
  6. Step 6: Final answer
    x = 708,046.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.