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Finding the Third Proportional to 112,958 and 241,428

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Solution

The third proportional to 112,958 and 241,428 is: 516,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,958 : 241,428 = 241,428 : x
  2. Step 2: Convert to fraction form
    112,958/241,428 = 241,428/x
  3. Step 3: Cross multiply
    112,958x = 241,428 × 241,428
  4. Step 4: Simplify right side
    112,958x = 58,287,479,184
  5. Step 5: Solve for x
    x = 58,287,479,184/112,958
  6. Step 6: Final answer
    x = 516,010.19

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