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Finding the Third Proportional to 152,704.50 and 328,822.50

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Solution

The third proportional to 152,704.50 and 328,822.50 is: 708,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,704.50 : 328,822.50 = 328,822.50 : x
  2. Step 2: Convert to fraction form
    152,704.50/328,822.50 = 328,822.50/x
  3. Step 3: Cross multiply
    152,704.50x = 328,822.50 × 328,822.50
  4. Step 4: Simplify right side
    152,704.50x = 108,124,236,506.25
  5. Step 5: Solve for x
    x = 108,124,236,506.25/152,704.50
  6. Step 6: Final answer
    x = 708,061.89

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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.