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Finding the Third Proportional to 113,886 and 243,535

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Solution

The third proportional to 113,886 and 243,535 is: 520,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886 : 243,535 = 243,535 : x
  2. Step 2: Convert to fraction form
    113,886/243,535 = 243,535/x
  3. Step 3: Cross multiply
    113,886x = 243,535 × 243,535
  4. Step 4: Simplify right side
    113,886x = 59,309,296,225
  5. Step 5: Solve for x
    x = 59,309,296,225/113,886
  6. Step 6: Final answer
    x = 520,777.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.