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Finding the Third Proportional to 152,148.38 and 328,353.75

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Solution

The third proportional to 152,148.38 and 328,353.75 is: 708,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,148.38 : 328,353.75 = 328,353.75 : x
  2. Step 2: Convert to fraction form
    152,148.38/328,353.75 = 328,353.75/x
  3. Step 3: Cross multiply
    152,148.38x = 328,353.75 × 328,353.75
  4. Step 4: Simplify right side
    152,148.38x = 107,816,185,139.06
  5. Step 5: Solve for x
    x = 107,816,185,139.06/152,148.38
  6. Step 6: Final answer
    x = 708,625.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.