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Finding the Third Proportional to 266,148 and 401,994

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Solution

The third proportional to 266,148 and 401,994 is: 607,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,148 : 401,994 = 401,994 : x
  2. Step 2: Convert to fraction form
    266,148/401,994 = 401,994/x
  3. Step 3: Cross multiply
    266,148x = 401,994 × 401,994
  4. Step 4: Simplify right side
    266,148x = 161,599,176,036
  5. Step 5: Solve for x
    x = 161,599,176,036/266,148
  6. Step 6: Final answer
    x = 607,177.87

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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.