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Finding the Third Proportional to 176,380.50 and 266,211

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Solution

The third proportional to 176,380.50 and 266,211 is: 401,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,380.50 : 266,211 = 266,211 : x
  2. Step 2: Convert to fraction form
    176,380.50/266,211 = 266,211/x
  3. Step 3: Cross multiply
    176,380.50x = 266,211 × 266,211
  4. Step 4: Simplify right side
    176,380.50x = 70,868,296,521
  5. Step 5: Solve for x
    x = 70,868,296,521/176,380.50
  6. Step 6: Final answer
    x = 401,792.13

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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.