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Finding the Third Proportional to 157,073 and 370,751

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Solution

The third proportional to 157,073 and 370,751 is: 875,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,073 : 370,751 = 370,751 : x
  2. Step 2: Convert to fraction form
    157,073/370,751 = 370,751/x
  3. Step 3: Cross multiply
    157,073x = 370,751 × 370,751
  4. Step 4: Simplify right side
    157,073x = 137,456,304,001
  5. Step 5: Solve for x
    x = 137,456,304,001/157,073
  6. Step 6: Final answer
    x = 875,110.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.