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Finding the Third Proportional to 160,778.67 and 342,931.85

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Solution

The third proportional to 160,778.67 and 342,931.85 is: 731,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,778.67 : 342,931.85 = 342,931.85 : x
  2. Step 2: Convert to fraction form
    160,778.67/342,931.85 = 342,931.85/x
  3. Step 3: Cross multiply
    160,778.67x = 342,931.85 × 342,931.85
  4. Step 4: Simplify right side
    160,778.67x = 117,602,254,816.09
  5. Step 5: Solve for x
    x = 117,602,254,816.09/160,778.67
  6. Step 6: Final answer
    x = 731,454.32

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Why These Related Problems?

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