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Finding the Third Proportional to 108,332 and 167,415

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Solution

The third proportional to 108,332 and 167,415 is: 258,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,332 : 167,415 = 167,415 : x
  2. Step 2: Convert to fraction form
    108,332/167,415 = 167,415/x
  3. Step 3: Cross multiply
    108,332x = 167,415 × 167,415
  4. Step 4: Simplify right side
    108,332x = 28,027,782,225
  5. Step 5: Solve for x
    x = 28,027,782,225/108,332
  6. Step 6: Final answer
    x = 258,721.17

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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.