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Finding the Third Proportional to 187,404 and 298,057

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Solution

The third proportional to 187,404 and 298,057 is: 474,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,404 : 298,057 = 298,057 : x
  2. Step 2: Convert to fraction form
    187,404/298,057 = 298,057/x
  3. Step 3: Cross multiply
    187,404x = 298,057 × 298,057
  4. Step 4: Simplify right side
    187,404x = 88,837,975,249
  5. Step 5: Solve for x
    x = 88,837,975,249/187,404
  6. Step 6: Final answer
    x = 474,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.