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Finding the Third Proportional to 119,419 and 260,982

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Solution

The third proportional to 119,419 and 260,982 is: 570,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,419 : 260,982 = 260,982 : x
  2. Step 2: Convert to fraction form
    119,419/260,982 = 260,982/x
  3. Step 3: Cross multiply
    119,419x = 260,982 × 260,982
  4. Step 4: Simplify right side
    119,419x = 68,111,604,324
  5. Step 5: Solve for x
    x = 68,111,604,324/119,419
  6. Step 6: Final answer
    x = 570,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.