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Finding the Third Proportional to 117,358 and 253,421

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Solution

The third proportional to 117,358 and 253,421 is: 547,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,358 : 253,421 = 253,421 : x
  2. Step 2: Convert to fraction form
    117,358/253,421 = 253,421/x
  3. Step 3: Cross multiply
    117,358x = 253,421 × 253,421
  4. Step 4: Simplify right side
    117,358x = 64,222,203,241
  5. Step 5: Solve for x
    x = 64,222,203,241/117,358
  6. Step 6: Final answer
    x = 547,233.28

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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.