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Finding the Third Proportional to 176,497 and 266,378

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Solution

The third proportional to 176,497 and 266,378 is: 402,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,497 : 266,378 = 266,378 : x
  2. Step 2: Convert to fraction form
    176,497/266,378 = 266,378/x
  3. Step 3: Cross multiply
    176,497x = 266,378 × 266,378
  4. Step 4: Simplify right side
    176,497x = 70,957,238,884
  5. Step 5: Solve for x
    x = 70,957,238,884/176,497
  6. Step 6: Final answer
    x = 402,030.85

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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.