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Finding the Third Proportional to 168,056 and 260,346

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Solution

The third proportional to 168,056 and 260,346 is: 403,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,056 : 260,346 = 260,346 : x
  2. Step 2: Convert to fraction form
    168,056/260,346 = 260,346/x
  3. Step 3: Cross multiply
    168,056x = 260,346 × 260,346
  4. Step 4: Simplify right side
    168,056x = 67,780,039,716
  5. Step 5: Solve for x
    x = 67,780,039,716/168,056
  6. Step 6: Final answer
    x = 403,318.18

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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.