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Finding the Third Proportional to 109,328 and 237,896

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Solution

The third proportional to 109,328 and 237,896 is: 517,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,328 : 237,896 = 237,896 : x
  2. Step 2: Convert to fraction form
    109,328/237,896 = 237,896/x
  3. Step 3: Cross multiply
    109,328x = 237,896 × 237,896
  4. Step 4: Simplify right side
    109,328x = 56,594,506,816
  5. Step 5: Solve for x
    x = 56,594,506,816/109,328
  6. Step 6: Final answer
    x = 517,657.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.