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Finding the Third Proportional to 117,534 and 241,287

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Solution

The third proportional to 117,534 and 241,287 is: 495,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534 : 241,287 = 241,287 : x
  2. Step 2: Convert to fraction form
    117,534/241,287 = 241,287/x
  3. Step 3: Cross multiply
    117,534x = 241,287 × 241,287
  4. Step 4: Simplify right side
    117,534x = 58,219,416,369
  5. Step 5: Solve for x
    x = 58,219,416,369/117,534
  6. Step 6: Final answer
    x = 495,341.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.