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Finding the Third Proportional to 157,662 and 244,796

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Solution

The third proportional to 157,662 and 244,796 is: 380,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,662 : 244,796 = 244,796 : x
  2. Step 2: Convert to fraction form
    157,662/244,796 = 244,796/x
  3. Step 3: Cross multiply
    157,662x = 244,796 × 244,796
  4. Step 4: Simplify right side
    157,662x = 59,925,081,616
  5. Step 5: Solve for x
    x = 59,925,081,616/157,662
  6. Step 6: Final answer
    x = 380,085.76

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Why These Related Problems?

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