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Finding the Third Proportional to 172,202 and 371,588

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Solution

The third proportional to 172,202 and 371,588 is: 801,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,202 : 371,588 = 371,588 : x
  2. Step 2: Convert to fraction form
    172,202/371,588 = 371,588/x
  3. Step 3: Cross multiply
    172,202x = 371,588 × 371,588
  4. Step 4: Simplify right side
    172,202x = 138,077,641,744
  5. Step 5: Solve for x
    x = 138,077,641,744/172,202
  6. Step 6: Final answer
    x = 801,835.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.