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Finding the Third Proportional to 172,737 and 254,160

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Solution

The third proportional to 172,737 and 254,160 is: 373,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,737 : 254,160 = 254,160 : x
  2. Step 2: Convert to fraction form
    172,737/254,160 = 254,160/x
  3. Step 3: Cross multiply
    172,737x = 254,160 × 254,160
  4. Step 4: Simplify right side
    172,737x = 64,597,305,600
  5. Step 5: Solve for x
    x = 64,597,305,600/172,737
  6. Step 6: Final answer
    x = 373,963.34

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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.