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Finding the Third Proportional to 117,000 and 253,452

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Solution

The third proportional to 117,000 and 253,452 is: 549,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,000 : 253,452 = 253,452 : x
  2. Step 2: Convert to fraction form
    117,000/253,452 = 253,452/x
  3. Step 3: Cross multiply
    117,000x = 253,452 × 253,452
  4. Step 4: Simplify right side
    117,000x = 64,237,916,304
  5. Step 5: Solve for x
    x = 64,237,916,304/117,000
  6. Step 6: Final answer
    x = 549,042.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.