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Finding the Third Proportional to 218,998 and 242,038

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Solution

The third proportional to 218,998 and 242,038 is: 267,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,998 : 242,038 = 242,038 : x
  2. Step 2: Convert to fraction form
    218,998/242,038 = 242,038/x
  3. Step 3: Cross multiply
    218,998x = 242,038 × 242,038
  4. Step 4: Simplify right side
    218,998x = 58,582,393,444
  5. Step 5: Solve for x
    x = 58,582,393,444/218,998
  6. Step 6: Final answer
    x = 267,501.96

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.