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Finding the Third Proportional to 187,617 and 401,475

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Solution

The third proportional to 187,617 and 401,475 is: 859,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,617 : 401,475 = 401,475 : x
  2. Step 2: Convert to fraction form
    187,617/401,475 = 401,475/x
  3. Step 3: Cross multiply
    187,617x = 401,475 × 401,475
  4. Step 4: Simplify right side
    187,617x = 161,182,175,625
  5. Step 5: Solve for x
    x = 161,182,175,625/187,617
  6. Step 6: Final answer
    x = 859,102.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.