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Finding the Third Proportional to 201,349 and 272,498

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Solution

The third proportional to 201,349 and 272,498 is: 368,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,349 : 272,498 = 272,498 : x
  2. Step 2: Convert to fraction form
    201,349/272,498 = 272,498/x
  3. Step 3: Cross multiply
    201,349x = 272,498 × 272,498
  4. Step 4: Simplify right side
    201,349x = 74,255,160,004
  5. Step 5: Solve for x
    x = 74,255,160,004/201,349
  6. Step 6: Final answer
    x = 368,788.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.