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Finding the Third Proportional to 119,523 and 260,779

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Solution

The third proportional to 119,523 and 260,779 is: 568,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,523 : 260,779 = 260,779 : x
  2. Step 2: Convert to fraction form
    119,523/260,779 = 260,779/x
  3. Step 3: Cross multiply
    119,523x = 260,779 × 260,779
  4. Step 4: Simplify right side
    119,523x = 68,005,686,841
  5. Step 5: Solve for x
    x = 68,005,686,841/119,523
  6. Step 6: Final answer
    x = 568,975.74

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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.