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Finding the Third Proportional to 117,255 and 238,650

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Solution

The third proportional to 117,255 and 238,650 is: 485,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,255 : 238,650 = 238,650 : x
  2. Step 2: Convert to fraction form
    117,255/238,650 = 238,650/x
  3. Step 3: Cross multiply
    117,255x = 238,650 × 238,650
  4. Step 4: Simplify right side
    117,255x = 56,953,822,500
  5. Step 5: Solve for x
    x = 56,953,822,500/117,255
  6. Step 6: Final answer
    x = 485,726.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.