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Finding the Third Proportional to 144,668.50 and 223,982.50

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Solution

The third proportional to 144,668.50 and 223,982.50 is: 346,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,668.50 : 223,982.50 = 223,982.50 : x
  2. Step 2: Convert to fraction form
    144,668.50/223,982.50 = 223,982.50/x
  3. Step 3: Cross multiply
    144,668.50x = 223,982.50 × 223,982.50
  4. Step 4: Simplify right side
    144,668.50x = 50,168,160,306.25
  5. Step 5: Solve for x
    x = 50,168,160,306.25/144,668.50
  6. Step 6: Final answer
    x = 346,780.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.