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Finding the Third Proportional to 172,605 and 233,203.50

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Solution

The third proportional to 172,605 and 233,203.50 is: 315,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,605 : 233,203.50 = 233,203.50 : x
  2. Step 2: Convert to fraction form
    172,605/233,203.50 = 233,203.50/x
  3. Step 3: Cross multiply
    172,605x = 233,203.50 × 233,203.50
  4. Step 4: Simplify right side
    172,605x = 54,383,872,412.25
  5. Step 5: Solve for x
    x = 54,383,872,412.25/172,605
  6. Step 6: Final answer
    x = 315,077.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.