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Finding the Third Proportional to 233,774.07 and 313,755.48

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Solution

The third proportional to 233,774.07 and 313,755.48 is: 421,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,774.07 : 313,755.48 = 313,755.48 : x
  2. Step 2: Convert to fraction form
    233,774.07/313,755.48 = 313,755.48/x
  3. Step 3: Cross multiply
    233,774.07x = 313,755.48 × 313,755.48
  4. Step 4: Simplify right side
    233,774.07x = 98,442,499,685.76
  5. Step 5: Solve for x
    x = 98,442,499,685.76/233,774.07
  6. Step 6: Final answer
    x = 421,101.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.