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Finding the Third Proportional to 145,003.50 and 211,938.75

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Solution

The third proportional to 145,003.50 and 211,938.75 is: 309,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,003.50 : 211,938.75 = 211,938.75 : x
  2. Step 2: Convert to fraction form
    145,003.50/211,938.75 = 211,938.75/x
  3. Step 3: Cross multiply
    145,003.50x = 211,938.75 × 211,938.75
  4. Step 4: Simplify right side
    145,003.50x = 44,918,033,751.56
  5. Step 5: Solve for x
    x = 44,918,033,751.56/145,003.50
  6. Step 6: Final answer
    x = 309,772.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.