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Finding the Third Proportional to 134,256 and 313,560

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Solution

The third proportional to 134,256 and 313,560 is: 732,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,256 : 313,560 = 313,560 : x
  2. Step 2: Convert to fraction form
    134,256/313,560 = 313,560/x
  3. Step 3: Cross multiply
    134,256x = 313,560 × 313,560
  4. Step 4: Simplify right side
    134,256x = 98,319,873,600
  5. Step 5: Solve for x
    x = 98,319,873,600/134,256
  6. Step 6: Final answer
    x = 732,331.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.