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Finding the Third Proportional to 158,309.75 and 233,278.58

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Solution

The third proportional to 158,309.75 and 233,278.58 is: 343,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,309.75 : 233,278.58 = 233,278.58 : x
  2. Step 2: Convert to fraction form
    158,309.75/233,278.58 = 233,278.58/x
  3. Step 3: Cross multiply
    158,309.75x = 233,278.58 × 233,278.58
  4. Step 4: Simplify right side
    158,309.75x = 54,418,894,100.78
  5. Step 5: Solve for x
    x = 54,418,894,100.78/158,309.75
  6. Step 6: Final answer
    x = 343,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.