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Finding the Third Proportional to 272,200.50 and 423,063

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Solution

The third proportional to 272,200.50 and 423,063 is: 657,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.50 : 423,063 = 423,063 : x
  2. Step 2: Convert to fraction form
    272,200.50/423,063 = 423,063/x
  3. Step 3: Cross multiply
    272,200.50x = 423,063 × 423,063
  4. Step 4: Simplify right side
    272,200.50x = 178,982,301,969
  5. Step 5: Solve for x
    x = 178,982,301,969/272,200.50
  6. Step 6: Final answer
    x = 657,538.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.