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Finding the Third Proportional to 119,862 and 263,052

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Solution

The third proportional to 119,862 and 263,052 is: 577,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,862 : 263,052 = 263,052 : x
  2. Step 2: Convert to fraction form
    119,862/263,052 = 263,052/x
  3. Step 3: Cross multiply
    119,862x = 263,052 × 263,052
  4. Step 4: Simplify right side
    119,862x = 69,196,354,704
  5. Step 5: Solve for x
    x = 69,196,354,704/119,862
  6. Step 6: Final answer
    x = 577,300.18

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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.