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Finding the Third Proportional to 172,200 and 371,584

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Solution

The third proportional to 172,200 and 371,584 is: 801,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,200 : 371,584 = 371,584 : x
  2. Step 2: Convert to fraction form
    172,200/371,584 = 371,584/x
  3. Step 3: Cross multiply
    172,200x = 371,584 × 371,584
  4. Step 4: Simplify right side
    172,200x = 138,074,669,056
  5. Step 5: Solve for x
    x = 138,074,669,056/172,200
  6. Step 6: Final answer
    x = 801,827.35

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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.