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Finding the Third Proportional to 155,956.50 and 328,210

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Solution

The third proportional to 155,956.50 and 328,210 is: 690,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,956.50 : 328,210 = 328,210 : x
  2. Step 2: Convert to fraction form
    155,956.50/328,210 = 328,210/x
  3. Step 3: Cross multiply
    155,956.50x = 328,210 × 328,210
  4. Step 4: Simplify right side
    155,956.50x = 107,721,804,100
  5. Step 5: Solve for x
    x = 107,721,804,100/155,956.50
  6. Step 6: Final answer
    x = 690,716.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.