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Finding the Third Proportional to 115,741.13 and 253,640.25

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Solution

The third proportional to 115,741.13 and 253,640.25 is: 555,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,741.13 : 253,640.25 = 253,640.25 : x
  2. Step 2: Convert to fraction form
    115,741.13/253,640.25 = 253,640.25/x
  3. Step 3: Cross multiply
    115,741.13x = 253,640.25 × 253,640.25
  4. Step 4: Simplify right side
    115,741.13x = 64,333,376,420.06
  5. Step 5: Solve for x
    x = 64,333,376,420.06/115,741.13
  6. Step 6: Final answer
    x = 555,838.53

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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.