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Finding the Third Proportional to 152,314.50 and 223,272

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Solution

The third proportional to 152,314.50 and 223,272 is: 327,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,314.50 : 223,272 = 223,272 : x
  2. Step 2: Convert to fraction form
    152,314.50/223,272 = 223,272/x
  3. Step 3: Cross multiply
    152,314.50x = 223,272 × 223,272
  4. Step 4: Simplify right side
    152,314.50x = 49,850,385,984
  5. Step 5: Solve for x
    x = 49,850,385,984/152,314.50
  6. Step 6: Final answer
    x = 327,285.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.