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Finding the Third Proportional to 160,141 and 370,687

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Solution

The third proportional to 160,141 and 370,687 is: 858,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,141 : 370,687 = 370,687 : x
  2. Step 2: Convert to fraction form
    160,141/370,687 = 370,687/x
  3. Step 3: Cross multiply
    160,141x = 370,687 × 370,687
  4. Step 4: Simplify right side
    160,141x = 137,408,851,969
  5. Step 5: Solve for x
    x = 137,408,851,969/160,141
  6. Step 6: Final answer
    x = 858,049.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.