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Finding the Third Proportional to 119,506 and 262,340

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Solution

The third proportional to 119,506 and 262,340 is: 575,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,506 : 262,340 = 262,340 : x
  2. Step 2: Convert to fraction form
    119,506/262,340 = 262,340/x
  3. Step 3: Cross multiply
    119,506x = 262,340 × 262,340
  4. Step 4: Simplify right side
    119,506x = 68,822,275,600
  5. Step 5: Solve for x
    x = 68,822,275,600/119,506
  6. Step 6: Final answer
    x = 575,889.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.