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Finding the Third Proportional to 266,134 and 401,964

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Solution

The third proportional to 266,134 and 401,964 is: 607,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,134 : 401,964 = 401,964 : x
  2. Step 2: Convert to fraction form
    266,134/401,964 = 401,964/x
  3. Step 3: Cross multiply
    266,134x = 401,964 × 401,964
  4. Step 4: Simplify right side
    266,134x = 161,575,057,296
  5. Step 5: Solve for x
    x = 161,575,057,296/266,134
  6. Step 6: Final answer
    x = 607,119.19

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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.