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Finding the Third Proportional to 172,702.13 and 371,648.25

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Solution

The third proportional to 172,702.13 and 371,648.25 is: 799,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,702.13 : 371,648.25 = 371,648.25 : x
  2. Step 2: Convert to fraction form
    172,702.13/371,648.25 = 371,648.25/x
  3. Step 3: Cross multiply
    172,702.13x = 371,648.25 × 371,648.25
  4. Step 4: Simplify right side
    172,702.13x = 138,122,421,728.06
  5. Step 5: Solve for x
    x = 138,122,421,728.06/172,702.13
  6. Step 6: Final answer
    x = 799,772.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.