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Finding the Third Proportional to 172,237 and 253,252

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Solution

The third proportional to 172,237 and 253,252 is: 372,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,237 : 253,252 = 253,252 : x
  2. Step 2: Convert to fraction form
    172,237/253,252 = 253,252/x
  3. Step 3: Cross multiply
    172,237x = 253,252 × 253,252
  4. Step 4: Simplify right side
    172,237x = 64,136,575,504
  5. Step 5: Solve for x
    x = 64,136,575,504/172,237
  6. Step 6: Final answer
    x = 372,373.97

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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.