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Finding the Third Proportional to 157,692 and 244,842

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Solution

The third proportional to 157,692 and 244,842 is: 380,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,692 : 244,842 = 244,842 : x
  2. Step 2: Convert to fraction form
    157,692/244,842 = 244,842/x
  3. Step 3: Cross multiply
    157,692x = 244,842 × 244,842
  4. Step 4: Simplify right side
    157,692x = 59,947,604,964
  5. Step 5: Solve for x
    x = 59,947,604,964/157,692
  6. Step 6: Final answer
    x = 380,156.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.