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Finding the Third Proportional to 202,524 and 314,400

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Solution

The third proportional to 202,524 and 314,400 is: 488,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,524 : 314,400 = 314,400 : x
  2. Step 2: Convert to fraction form
    202,524/314,400 = 314,400/x
  3. Step 3: Cross multiply
    202,524x = 314,400 × 314,400
  4. Step 4: Simplify right side
    202,524x = 98,847,360,000
  5. Step 5: Solve for x
    x = 98,847,360,000/202,524
  6. Step 6: Final answer
    x = 488,077.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.