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Finding the Third Proportional to 187,266 and 404,459

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Solution

The third proportional to 187,266 and 404,459 is: 873,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,266 : 404,459 = 404,459 : x
  2. Step 2: Convert to fraction form
    187,266/404,459 = 404,459/x
  3. Step 3: Cross multiply
    187,266x = 404,459 × 404,459
  4. Step 4: Simplify right side
    187,266x = 163,587,082,681
  5. Step 5: Solve for x
    x = 163,587,082,681/187,266
  6. Step 6: Final answer
    x = 873,554.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.