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Finding the Third Proportional to 176,413 and 266,262

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Solution

The third proportional to 176,413 and 266,262 is: 401,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413 : 266,262 = 266,262 : x
  2. Step 2: Convert to fraction form
    176,413/266,262 = 266,262/x
  3. Step 3: Cross multiply
    176,413x = 266,262 × 266,262
  4. Step 4: Simplify right side
    176,413x = 70,895,452,644
  5. Step 5: Solve for x
    x = 70,895,452,644/176,413
  6. Step 6: Final answer
    x = 401,872.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.