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Finding the Third Proportional to 109,448 and 237,004

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Solution

The third proportional to 109,448 and 237,004 is: 513,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,448 : 237,004 = 237,004 : x
  2. Step 2: Convert to fraction form
    109,448/237,004 = 237,004/x
  3. Step 3: Cross multiply
    109,448x = 237,004 × 237,004
  4. Step 4: Simplify right side
    109,448x = 56,170,896,016
  5. Step 5: Solve for x
    x = 56,170,896,016/109,448
  6. Step 6: Final answer
    x = 513,219.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.