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Finding the Third Proportional to 160,708.41 and 345,602.91

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Solution

The third proportional to 160,708.41 and 345,602.91 is: 743,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708.41 : 345,602.91 = 345,602.91 : x
  2. Step 2: Convert to fraction form
    160,708.41/345,602.91 = 345,602.91/x
  3. Step 3: Cross multiply
    160,708.41x = 345,602.91 × 345,602.91
  4. Step 4: Simplify right side
    160,708.41x = 119,441,368,808.45
  5. Step 5: Solve for x
    x = 119,441,368,808.45/160,708.41
  6. Step 6: Final answer
    x = 743,217.93

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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.