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Finding the Third Proportional to 151,002 and 328,981.50

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Solution

The third proportional to 151,002 and 328,981.50 is: 716,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,002 : 328,981.50 = 328,981.50 : x
  2. Step 2: Convert to fraction form
    151,002/328,981.50 = 328,981.50/x
  3. Step 3: Cross multiply
    151,002x = 328,981.50 × 328,981.50
  4. Step 4: Simplify right side
    151,002x = 108,228,827,342.25
  5. Step 5: Solve for x
    x = 108,228,827,342.25/151,002
  6. Step 6: Final answer
    x = 716,737.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.