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Finding the Third Proportional to 201,469 and 314,468

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Solution

The third proportional to 201,469 and 314,468 is: 490,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469 : 314,468 = 314,468 : x
  2. Step 2: Convert to fraction form
    201,469/314,468 = 314,468/x
  3. Step 3: Cross multiply
    201,469x = 314,468 × 314,468
  4. Step 4: Simplify right side
    201,469x = 98,890,123,024
  5. Step 5: Solve for x
    x = 98,890,123,024/201,469
  6. Step 6: Final answer
    x = 490,845.36

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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.