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Finding the Third Proportional to 187,110 and 400,464

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Solution

The third proportional to 187,110 and 400,464 is: 857,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,110 : 400,464 = 400,464 : x
  2. Step 2: Convert to fraction form
    187,110/400,464 = 400,464/x
  3. Step 3: Cross multiply
    187,110x = 400,464 × 400,464
  4. Step 4: Simplify right side
    187,110x = 160,371,415,296
  5. Step 5: Solve for x
    x = 160,371,415,296/187,110
  6. Step 6: Final answer
    x = 857,096.98

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