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Finding the Third Proportional to 114,470 and 167,931

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Solution

The third proportional to 114,470 and 167,931 is: 246,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,470 : 167,931 = 167,931 : x
  2. Step 2: Convert to fraction form
    114,470/167,931 = 167,931/x
  3. Step 3: Cross multiply
    114,470x = 167,931 × 167,931
  4. Step 4: Simplify right side
    114,470x = 28,200,820,761
  5. Step 5: Solve for x
    x = 28,200,820,761/114,470
  6. Step 6: Final answer
    x = 246,359.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.