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Finding the Third Proportional to 113,018 and 245,716

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Solution

The third proportional to 113,018 and 245,716 is: 534,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,018 : 245,716 = 245,716 : x
  2. Step 2: Convert to fraction form
    113,018/245,716 = 245,716/x
  3. Step 3: Cross multiply
    113,018x = 245,716 × 245,716
  4. Step 4: Simplify right side
    113,018x = 60,376,352,656
  5. Step 5: Solve for x
    x = 60,376,352,656/113,018
  6. Step 6: Final answer
    x = 534,218.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.