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Finding the Third Proportional to 117,464 and 167,448

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Solution

The third proportional to 117,464 and 167,448 is: 238,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464 : 167,448 = 167,448 : x
  2. Step 2: Convert to fraction form
    117,464/167,448 = 167,448/x
  3. Step 3: Cross multiply
    117,464x = 167,448 × 167,448
  4. Step 4: Simplify right side
    117,464x = 28,038,832,704
  5. Step 5: Solve for x
    x = 28,038,832,704/117,464
  6. Step 6: Final answer
    x = 238,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.