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Finding the Third Proportional to 160,146 and 370,701

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Solution

The third proportional to 160,146 and 370,701 is: 858,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,146 : 370,701 = 370,701 : x
  2. Step 2: Convert to fraction form
    160,146/370,701 = 370,701/x
  3. Step 3: Cross multiply
    160,146x = 370,701 × 370,701
  4. Step 4: Simplify right side
    160,146x = 137,419,231,401
  5. Step 5: Solve for x
    x = 137,419,231,401/160,146
  6. Step 6: Final answer
    x = 858,087.19

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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.