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Finding the Third Proportional to 202,514 and 314,380

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Solution

The third proportional to 202,514 and 314,380 is: 488,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,514 : 314,380 = 314,380 : x
  2. Step 2: Convert to fraction form
    202,514/314,380 = 314,380/x
  3. Step 3: Cross multiply
    202,514x = 314,380 × 314,380
  4. Step 4: Simplify right side
    202,514x = 98,834,784,400
  5. Step 5: Solve for x
    x = 98,834,784,400/202,514
  6. Step 6: Final answer
    x = 488,039.27

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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.