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Finding the Third Proportional to 118,317 and 256,702

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Solution

The third proportional to 118,317 and 256,702 is: 556,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,317 : 256,702 = 256,702 : x
  2. Step 2: Convert to fraction form
    118,317/256,702 = 256,702/x
  3. Step 3: Cross multiply
    118,317x = 256,702 × 256,702
  4. Step 4: Simplify right side
    118,317x = 65,895,916,804
  5. Step 5: Solve for x
    x = 65,895,916,804/118,317
  6. Step 6: Final answer
    x = 556,943.78

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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.