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Finding the Third Proportional to 169,263 and 361,854

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Solution

The third proportional to 169,263 and 361,854 is: 773,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,263 : 361,854 = 361,854 : x
  2. Step 2: Convert to fraction form
    169,263/361,854 = 361,854/x
  3. Step 3: Cross multiply
    169,263x = 361,854 × 361,854
  4. Step 4: Simplify right side
    169,263x = 130,938,317,316
  5. Step 5: Solve for x
    x = 130,938,317,316/169,263
  6. Step 6: Final answer
    x = 773,579.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.