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Finding the Third Proportional to 97,264 and 201,272

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Solution

The third proportional to 97,264 and 201,272 is: 416,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,264 : 201,272 = 201,272 : x
  2. Step 2: Convert to fraction form
    97,264/201,272 = 201,272/x
  3. Step 3: Cross multiply
    97,264x = 201,272 × 201,272
  4. Step 4: Simplify right side
    97,264x = 40,510,417,984
  5. Step 5: Solve for x
    x = 40,510,417,984/97,264
  6. Step 6: Final answer
    x = 416,499.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.