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Finding the Third Proportional to 260,282 and 353,559

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Solution

The third proportional to 260,282 and 353,559 is: 480,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,282 : 353,559 = 353,559 : x
  2. Step 2: Convert to fraction form
    260,282/353,559 = 353,559/x
  3. Step 3: Cross multiply
    260,282x = 353,559 × 353,559
  4. Step 4: Simplify right side
    260,282x = 125,003,966,481
  5. Step 5: Solve for x
    x = 125,003,966,481/260,282
  6. Step 6: Final answer
    x = 480,263.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.