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Finding the Third Proportional to 117,196 and 252,643

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Solution

The third proportional to 117,196 and 252,643 is: 544,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,196 : 252,643 = 252,643 : x
  2. Step 2: Convert to fraction form
    117,196/252,643 = 252,643/x
  3. Step 3: Cross multiply
    117,196x = 252,643 × 252,643
  4. Step 4: Simplify right side
    117,196x = 63,828,485,449
  5. Step 5: Solve for x
    x = 63,828,485,449/117,196
  6. Step 6: Final answer
    x = 544,630.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.