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Finding the Third Proportional to 108,010.50 and 252,337.50

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Solution

The third proportional to 108,010.50 and 252,337.50 is: 589,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,010.50 : 252,337.50 = 252,337.50 : x
  2. Step 2: Convert to fraction form
    108,010.50/252,337.50 = 252,337.50/x
  3. Step 3: Cross multiply
    108,010.50x = 252,337.50 × 252,337.50
  4. Step 4: Simplify right side
    108,010.50x = 63,674,213,906.25
  5. Step 5: Solve for x
    x = 63,674,213,906.25/108,010.50
  6. Step 6: Final answer
    x = 589,518.74

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.