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Finding the Third Proportional to 172,132.88 and 234,670.50

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Solution

The third proportional to 172,132.88 and 234,670.50 is: 319,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,132.88 : 234,670.50 = 234,670.50 : x
  2. Step 2: Convert to fraction form
    172,132.88/234,670.50 = 234,670.50/x
  3. Step 3: Cross multiply
    172,132.88x = 234,670.50 × 234,670.50
  4. Step 4: Simplify right side
    172,132.88x = 55,070,243,570.25
  5. Step 5: Solve for x
    x = 55,070,243,570.25/172,132.88
  6. Step 6: Final answer
    x = 319,928.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.