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Finding the Third Proportional to 115,725 and 253,608

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Solution

The third proportional to 115,725 and 253,608 is: 555,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,725 : 253,608 = 253,608 : x
  2. Step 2: Convert to fraction form
    115,725/253,608 = 253,608/x
  3. Step 3: Cross multiply
    115,725x = 253,608 × 253,608
  4. Step 4: Simplify right side
    115,725x = 64,317,017,664
  5. Step 5: Solve for x
    x = 64,317,017,664/115,725
  6. Step 6: Final answer
    x = 555,774.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.