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Finding the Third Proportional to 152,959.50 and 328,062.38

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Solution

The third proportional to 152,959.50 and 328,062.38 is: 703,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,959.50 : 328,062.38 = 328,062.38 : x
  2. Step 2: Convert to fraction form
    152,959.50/328,062.38 = 328,062.38/x
  3. Step 3: Cross multiply
    152,959.50x = 328,062.38 × 328,062.38
  4. Step 4: Simplify right side
    152,959.50x = 107,624,921,890.64
  5. Step 5: Solve for x
    x = 107,624,921,890.64/152,959.50
  6. Step 6: Final answer
    x = 703,617.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.