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Finding the Third Proportional to 152,731.50 and 335,574

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Solution

The third proportional to 152,731.50 and 335,574 is: 737,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,731.50 : 335,574 = 335,574 : x
  2. Step 2: Convert to fraction form
    152,731.50/335,574 = 335,574/x
  3. Step 3: Cross multiply
    152,731.50x = 335,574 × 335,574
  4. Step 4: Simplify right side
    152,731.50x = 112,609,909,476
  5. Step 5: Solve for x
    x = 112,609,909,476/152,731.50
  6. Step 6: Final answer
    x = 737,306.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.