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Finding the Third Proportional to 119,364 and 260,040

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Solution

The third proportional to 119,364 and 260,040 is: 566,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,364 : 260,040 = 260,040 : x
  2. Step 2: Convert to fraction form
    119,364/260,040 = 260,040/x
  3. Step 3: Cross multiply
    119,364x = 260,040 × 260,040
  4. Step 4: Simplify right side
    119,364x = 67,620,801,600
  5. Step 5: Solve for x
    x = 67,620,801,600/119,364
  6. Step 6: Final answer
    x = 566,509.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.