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Finding the Third Proportional to 187,126 and 400,010

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Solution

The third proportional to 187,126 and 400,010 is: 855,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,126 : 400,010 = 400,010 : x
  2. Step 2: Convert to fraction form
    187,126/400,010 = 400,010/x
  3. Step 3: Cross multiply
    187,126x = 400,010 × 400,010
  4. Step 4: Simplify right side
    187,126x = 160,008,000,100
  5. Step 5: Solve for x
    x = 160,008,000,100/187,126
  6. Step 6: Final answer
    x = 855,081.60

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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.