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Finding the Third Proportional to 233,988.75 and 353,076.75

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Solution

The third proportional to 233,988.75 and 353,076.75 is: 532,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,988.75 : 353,076.75 = 353,076.75 : x
  2. Step 2: Convert to fraction form
    233,988.75/353,076.75 = 353,076.75/x
  3. Step 3: Cross multiply
    233,988.75x = 353,076.75 × 353,076.75
  4. Step 4: Simplify right side
    233,988.75x = 124,663,191,390.56
  5. Step 5: Solve for x
    x = 124,663,191,390.56/233,988.75
  6. Step 6: Final answer
    x = 532,774.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.