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Finding the Third Proportional to 152,701.29 and 328,814.60

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Solution

The third proportional to 152,701.29 and 328,814.60 is: 708,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,701.29 : 328,814.60 = 328,814.60 : x
  2. Step 2: Convert to fraction form
    152,701.29/328,814.60 = 328,814.60/x
  3. Step 3: Cross multiply
    152,701.29x = 328,814.60 × 328,814.60
  4. Step 4: Simplify right side
    152,701.29x = 108,119,038,347.41
  5. Step 5: Solve for x
    x = 108,119,038,347.41/152,701.29
  6. Step 6: Final answer
    x = 708,042.71

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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.