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Finding the Third Proportional to 175,242 and 266,328

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Solution

The third proportional to 175,242 and 266,328 is: 404,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,242 : 266,328 = 266,328 : x
  2. Step 2: Convert to fraction form
    175,242/266,328 = 266,328/x
  3. Step 3: Cross multiply
    175,242x = 266,328 × 266,328
  4. Step 4: Simplify right side
    175,242x = 70,930,603,584
  5. Step 5: Solve for x
    x = 70,930,603,584/175,242
  6. Step 6: Final answer
    x = 404,758.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.