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Finding the Third Proportional to 149,613.75 and 223,897.50

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Solution

The third proportional to 149,613.75 and 223,897.50 is: 335,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,613.75 : 223,897.50 = 223,897.50 : x
  2. Step 2: Convert to fraction form
    149,613.75/223,897.50 = 223,897.50/x
  3. Step 3: Cross multiply
    149,613.75x = 223,897.50 × 223,897.50
  4. Step 4: Simplify right side
    149,613.75x = 50,130,090,506.25
  5. Step 5: Solve for x
    x = 50,130,090,506.25/149,613.75
  6. Step 6: Final answer
    x = 335,063.39

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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.