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Finding the Third Proportional to 173,869 and 264,448

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Solution

The third proportional to 173,869 and 264,448 is: 402,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869 : 264,448 = 264,448 : x
  2. Step 2: Convert to fraction form
    173,869/264,448 = 264,448/x
  3. Step 3: Cross multiply
    173,869x = 264,448 × 264,448
  4. Step 4: Simplify right side
    173,869x = 69,932,744,704
  5. Step 5: Solve for x
    x = 69,932,744,704/173,869
  6. Step 6: Final answer
    x = 402,215.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.