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Finding the Third Proportional to 148,938.75 and 324,085.50

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Solution

The third proportional to 148,938.75 and 324,085.50 is: 705,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,938.75 : 324,085.50 = 324,085.50 : x
  2. Step 2: Convert to fraction form
    148,938.75/324,085.50 = 324,085.50/x
  3. Step 3: Cross multiply
    148,938.75x = 324,085.50 × 324,085.50
  4. Step 4: Simplify right side
    148,938.75x = 105,031,411,310.25
  5. Step 5: Solve for x
    x = 105,031,411,310.25/148,938.75
  6. Step 6: Final answer
    x = 705,198.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.