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Finding the Third Proportional to 126,656 and 293,248

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Solution

The third proportional to 126,656 and 293,248 is: 678,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656 : 293,248 = 293,248 : x
  2. Step 2: Convert to fraction form
    126,656/293,248 = 293,248/x
  3. Step 3: Cross multiply
    126,656x = 293,248 × 293,248
  4. Step 4: Simplify right side
    126,656x = 85,994,389,504
  5. Step 5: Solve for x
    x = 85,994,389,504/126,656
  6. Step 6: Final answer
    x = 678,960.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.