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Finding the Third Proportional to 191,802 and 425,524

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Solution

The third proportional to 191,802 and 425,524 is: 944,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,802 : 425,524 = 425,524 : x
  2. Step 2: Convert to fraction form
    191,802/425,524 = 425,524/x
  3. Step 3: Cross multiply
    191,802x = 425,524 × 425,524
  4. Step 4: Simplify right side
    191,802x = 181,070,674,576
  5. Step 5: Solve for x
    x = 181,070,674,576/191,802
  6. Step 6: Final answer
    x = 944,049.98

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.