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Finding the Third Proportional to 201,452 and 313,354

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Solution

The third proportional to 201,452 and 313,354 is: 487,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,452 : 313,354 = 313,354 : x
  2. Step 2: Convert to fraction form
    201,452/313,354 = 313,354/x
  3. Step 3: Cross multiply
    201,452x = 313,354 × 313,354
  4. Step 4: Simplify right side
    201,452x = 98,190,729,316
  5. Step 5: Solve for x
    x = 98,190,729,316/201,452
  6. Step 6: Final answer
    x = 487,415.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.