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Finding the Third Proportional to 175,447 and 266,453

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Solution

The third proportional to 175,447 and 266,453 is: 404,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,447 : 266,453 = 266,453 : x
  2. Step 2: Convert to fraction form
    175,447/266,453 = 266,453/x
  3. Step 3: Cross multiply
    175,447x = 266,453 × 266,453
  4. Step 4: Simplify right side
    175,447x = 70,997,201,209
  5. Step 5: Solve for x
    x = 70,997,201,209/175,447
  6. Step 6: Final answer
    x = 404,664.66

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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.