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Finding the Third Proportional to 145,733.50 and 218,735.50

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Solution

The third proportional to 145,733.50 and 218,735.50 is: 328,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,733.50 : 218,735.50 = 218,735.50 : x
  2. Step 2: Convert to fraction form
    145,733.50/218,735.50 = 218,735.50/x
  3. Step 3: Cross multiply
    145,733.50x = 218,735.50 × 218,735.50
  4. Step 4: Simplify right side
    145,733.50x = 47,845,218,960.25
  5. Step 5: Solve for x
    x = 47,845,218,960.25/145,733.50
  6. Step 6: Final answer
    x = 328,306.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.