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Finding the Third Proportional to 201,655.50 and 309,532.50

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Solution

The third proportional to 201,655.50 and 309,532.50 is: 475,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655.50 : 309,532.50 = 309,532.50 : x
  2. Step 2: Convert to fraction form
    201,655.50/309,532.50 = 309,532.50/x
  3. Step 3: Cross multiply
    201,655.50x = 309,532.50 × 309,532.50
  4. Step 4: Simplify right side
    201,655.50x = 95,810,368,556.25
  5. Step 5: Solve for x
    x = 95,810,368,556.25/201,655.50
  6. Step 6: Final answer
    x = 475,119.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.