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Finding the Third Proportional to 160,851.38 and 346,633.13

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Solution

The third proportional to 160,851.38 and 346,633.13 is: 746,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,851.38 : 346,633.13 = 346,633.13 : x
  2. Step 2: Convert to fraction form
    160,851.38/346,633.13 = 346,633.13/x
  3. Step 3: Cross multiply
    160,851.38x = 346,633.13 × 346,633.13
  4. Step 4: Simplify right side
    160,851.38x = 120,154,523,347.27
  5. Step 5: Solve for x
    x = 120,154,523,347.27/160,851.38
  6. Step 6: Final answer
    x = 746,990.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.