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Finding the Third Proportional to 152,708.25 and 329,080.50

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Solution

The third proportional to 152,708.25 and 329,080.50 is: 709,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,708.25 : 329,080.50 = 329,080.50 : x
  2. Step 2: Convert to fraction form
    152,708.25/329,080.50 = 329,080.50/x
  3. Step 3: Cross multiply
    152,708.25x = 329,080.50 × 329,080.50
  4. Step 4: Simplify right side
    152,708.25x = 108,293,975,480.25
  5. Step 5: Solve for x
    x = 108,293,975,480.25/152,708.25
  6. Step 6: Final answer
    x = 709,156.02

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