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Finding the Third Proportional to 233,160.75 and 418,342.50

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Solution

The third proportional to 233,160.75 and 418,342.50 is: 750,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 418,342.50 = 418,342.50 : x
  2. Step 2: Convert to fraction form
    233,160.75/418,342.50 = 418,342.50/x
  3. Step 3: Cross multiply
    233,160.75x = 418,342.50 × 418,342.50
  4. Step 4: Simplify right side
    233,160.75x = 175,010,447,306.25
  5. Step 5: Solve for x
    x = 175,010,447,306.25/233,160.75
  6. Step 6: Final answer
    x = 750,599.95

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.