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Finding the Third Proportional to 233,412.75 and 330,301.13

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Solution

The third proportional to 233,412.75 and 330,301.13 is: 467,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,412.75 : 330,301.13 = 330,301.13 : x
  2. Step 2: Convert to fraction form
    233,412.75/330,301.13 = 330,301.13/x
  3. Step 3: Cross multiply
    233,412.75x = 330,301.13 × 330,301.13
  4. Step 4: Simplify right side
    233,412.75x = 109,098,833,176.27
  5. Step 5: Solve for x
    x = 109,098,833,176.27/233,412.75
  6. Step 6: Final answer
    x = 467,407.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.