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Finding the Third Proportional to 160,807.15 and 342,988.80

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Solution

The third proportional to 160,807.15 and 342,988.80 is: 731,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,807.15 : 342,988.80 = 342,988.80 : x
  2. Step 2: Convert to fraction form
    160,807.15/342,988.80 = 342,988.80/x
  3. Step 3: Cross multiply
    160,807.15x = 342,988.80 × 342,988.80
  4. Step 4: Simplify right side
    160,807.15x = 117,641,320,140.96
  5. Step 5: Solve for x
    x = 117,641,320,140.96/160,807.15
  6. Step 6: Final answer
    x = 731,567.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.