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Finding the Third Proportional to 261,111.75 and 352,301.25

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Solution

The third proportional to 261,111.75 and 352,301.25 is: 475,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,111.75 : 352,301.25 = 352,301.25 : x
  2. Step 2: Convert to fraction form
    261,111.75/352,301.25 = 352,301.25/x
  3. Step 3: Cross multiply
    261,111.75x = 352,301.25 × 352,301.25
  4. Step 4: Simplify right side
    261,111.75x = 124,116,170,751.56
  5. Step 5: Solve for x
    x = 124,116,170,751.56/261,111.75
  6. Step 6: Final answer
    x = 475,337.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.