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Finding the Third Proportional to 201,975 and 307,159.50

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Solution

The third proportional to 201,975 and 307,159.50 is: 467,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,975 : 307,159.50 = 307,159.50 : x
  2. Step 2: Convert to fraction form
    201,975/307,159.50 = 307,159.50/x
  3. Step 3: Cross multiply
    201,975x = 307,159.50 × 307,159.50
  4. Step 4: Simplify right side
    201,975x = 94,346,958,440.25
  5. Step 5: Solve for x
    x = 94,346,958,440.25/201,975
  6. Step 6: Final answer
    x = 467,121.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.