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Finding the Third Proportional to 115,446 and 177,330

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Solution

The third proportional to 115,446 and 177,330 is: 272,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446 : 177,330 = 177,330 : x
  2. Step 2: Convert to fraction form
    115,446/177,330 = 177,330/x
  3. Step 3: Cross multiply
    115,446x = 177,330 × 177,330
  4. Step 4: Simplify right side
    115,446x = 31,445,928,900
  5. Step 5: Solve for x
    x = 31,445,928,900/115,446
  6. Step 6: Final answer
    x = 272,386.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.