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Finding the Third Proportional to 110,434.50 and 175,151

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Solution

The third proportional to 110,434.50 and 175,151 is: 277,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,434.50 : 175,151 = 175,151 : x
  2. Step 2: Convert to fraction form
    110,434.50/175,151 = 175,151/x
  3. Step 3: Cross multiply
    110,434.50x = 175,151 × 175,151
  4. Step 4: Simplify right side
    110,434.50x = 30,677,872,801
  5. Step 5: Solve for x
    x = 30,677,872,801/110,434.50
  6. Step 6: Final answer
    x = 277,792.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.