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Finding the Third Proportional to 116,358 and 253,452

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Solution

The third proportional to 116,358 and 253,452 is: 552,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,358 : 253,452 = 253,452 : x
  2. Step 2: Convert to fraction form
    116,358/253,452 = 253,452/x
  3. Step 3: Cross multiply
    116,358x = 253,452 × 253,452
  4. Step 4: Simplify right side
    116,358x = 64,237,916,304
  5. Step 5: Solve for x
    x = 64,237,916,304/116,358
  6. Step 6: Final answer
    x = 552,071.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.