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Finding the Third Proportional to 152,776.50 and 328,959

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Solution

The third proportional to 152,776.50 and 328,959 is: 708,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,776.50 : 328,959 = 328,959 : x
  2. Step 2: Convert to fraction form
    152,776.50/328,959 = 328,959/x
  3. Step 3: Cross multiply
    152,776.50x = 328,959 × 328,959
  4. Step 4: Simplify right side
    152,776.50x = 108,214,023,681
  5. Step 5: Solve for x
    x = 108,214,023,681/152,776.50
  6. Step 6: Final answer
    x = 708,315.90

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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.