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Finding the Third Proportional to 225,319.50 and 347,914.13

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Solution

The third proportional to 225,319.50 and 347,914.13 is: 537,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,319.50 : 347,914.13 = 347,914.13 : x
  2. Step 2: Convert to fraction form
    225,319.50/347,914.13 = 347,914.13/x
  3. Step 3: Cross multiply
    225,319.50x = 347,914.13 × 347,914.13
  4. Step 4: Simplify right side
    225,319.50x = 121,044,238,374.52
  5. Step 5: Solve for x
    x = 121,044,238,374.52/225,319.50
  6. Step 6: Final answer
    x = 537,211.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.