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Finding the Third Proportional to 119,955 and 260,646

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Solution

The third proportional to 119,955 and 260,646 is: 566,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,955 : 260,646 = 260,646 : x
  2. Step 2: Convert to fraction form
    119,955/260,646 = 260,646/x
  3. Step 3: Cross multiply
    119,955x = 260,646 × 260,646
  4. Step 4: Simplify right side
    119,955x = 67,936,337,316
  5. Step 5: Solve for x
    x = 67,936,337,316/119,955
  6. Step 6: Final answer
    x = 566,348.52

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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.