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Finding the Third Proportional to 151,963.50 and 329,685

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Solution

The third proportional to 151,963.50 and 329,685 is: 715,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,963.50 : 329,685 = 329,685 : x
  2. Step 2: Convert to fraction form
    151,963.50/329,685 = 329,685/x
  3. Step 3: Cross multiply
    151,963.50x = 329,685 × 329,685
  4. Step 4: Simplify right side
    151,963.50x = 108,692,199,225
  5. Step 5: Solve for x
    x = 108,692,199,225/151,963.50
  6. Step 6: Final answer
    x = 715,252.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.