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Finding the Third Proportional to 201,062.25 and 433,015.88

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Solution

The third proportional to 201,062.25 and 433,015.88 is: 932,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,062.25 : 433,015.88 = 433,015.88 : x
  2. Step 2: Convert to fraction form
    201,062.25/433,015.88 = 433,015.88/x
  3. Step 3: Cross multiply
    201,062.25x = 433,015.88 × 433,015.88
  4. Step 4: Simplify right side
    201,062.25x = 187,502,748,002.02
  5. Step 5: Solve for x
    x = 187,502,748,002.02/201,062.25
  6. Step 6: Final answer
    x = 932,560.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.