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Finding the Third Proportional to 119,413 and 251,785

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Solution

The third proportional to 119,413 and 251,785 is: 530,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413 : 251,785 = 251,785 : x
  2. Step 2: Convert to fraction form
    119,413/251,785 = 251,785/x
  3. Step 3: Cross multiply
    119,413x = 251,785 × 251,785
  4. Step 4: Simplify right side
    119,413x = 63,395,686,225
  5. Step 5: Solve for x
    x = 63,395,686,225/119,413
  6. Step 6: Final answer
    x = 530,894.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.