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Finding the Third Proportional to 173,248 and 378,464

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Solution

The third proportional to 173,248 and 378,464 is: 826,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,248 : 378,464 = 378,464 : x
  2. Step 2: Convert to fraction form
    173,248/378,464 = 378,464/x
  3. Step 3: Cross multiply
    173,248x = 378,464 × 378,464
  4. Step 4: Simplify right side
    173,248x = 143,234,999,296
  5. Step 5: Solve for x
    x = 143,234,999,296/173,248
  6. Step 6: Final answer
    x = 826,762.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.