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Finding the Third Proportional to 176,922 and 266,354

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Solution

The third proportional to 176,922 and 266,354 is: 400,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,922 : 266,354 = 266,354 : x
  2. Step 2: Convert to fraction form
    176,922/266,354 = 266,354/x
  3. Step 3: Cross multiply
    176,922x = 266,354 × 266,354
  4. Step 4: Simplify right side
    176,922x = 70,944,453,316
  5. Step 5: Solve for x
    x = 70,944,453,316/176,922
  6. Step 6: Final answer
    x = 400,992.83

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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.