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Finding the Third Proportional to 266,130 and 401,958

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Solution

The third proportional to 266,130 and 401,958 is: 607,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,130 : 401,958 = 401,958 : x
  2. Step 2: Convert to fraction form
    266,130/401,958 = 401,958/x
  3. Step 3: Cross multiply
    266,130x = 401,958 × 401,958
  4. Step 4: Simplify right side
    266,130x = 161,570,233,764
  5. Step 5: Solve for x
    x = 161,570,233,764/266,130
  6. Step 6: Final answer
    x = 607,110.19

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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.