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Finding the Third Proportional to 201,226 and 272,314

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Solution

The third proportional to 201,226 and 272,314 is: 368,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,226 : 272,314 = 272,314 : x
  2. Step 2: Convert to fraction form
    201,226/272,314 = 272,314/x
  3. Step 3: Cross multiply
    201,226x = 272,314 × 272,314
  4. Step 4: Simplify right side
    201,226x = 74,154,914,596
  5. Step 5: Solve for x
    x = 74,154,914,596/201,226
  6. Step 6: Final answer
    x = 368,515.57

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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.