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Finding the Third Proportional to 176,415 and 266,265

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Solution

The third proportional to 176,415 and 266,265 is: 401,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,415 : 266,265 = 266,265 : x
  2. Step 2: Convert to fraction form
    176,415/266,265 = 266,265/x
  3. Step 3: Cross multiply
    176,415x = 266,265 × 266,265
  4. Step 4: Simplify right side
    176,415x = 70,897,050,225
  5. Step 5: Solve for x
    x = 70,897,050,225/176,415
  6. Step 6: Final answer
    x = 401,876.54

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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.