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Finding the Third Proportional to 168,260 and 260,492

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Solution

The third proportional to 168,260 and 260,492 is: 403,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,260 : 260,492 = 260,492 : x
  2. Step 2: Convert to fraction form
    168,260/260,492 = 260,492/x
  3. Step 3: Cross multiply
    168,260x = 260,492 × 260,492
  4. Step 4: Simplify right side
    168,260x = 67,856,082,064
  5. Step 5: Solve for x
    x = 67,856,082,064/168,260
  6. Step 6: Final answer
    x = 403,281.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.