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Finding the Third Proportional to 151,967.50 and 329,693

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Solution

The third proportional to 151,967.50 and 329,693 is: 715,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,967.50 : 329,693 = 329,693 : x
  2. Step 2: Convert to fraction form
    151,967.50/329,693 = 329,693/x
  3. Step 3: Cross multiply
    151,967.50x = 329,693 × 329,693
  4. Step 4: Simplify right side
    151,967.50x = 108,697,474,249
  5. Step 5: Solve for x
    x = 108,697,474,249/151,967.50
  6. Step 6: Final answer
    x = 715,267.90

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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.