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Finding the Third Proportional to 242,702 and 362,181

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Solution

The third proportional to 242,702 and 362,181 is: 540,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702 : 362,181 = 362,181 : x
  2. Step 2: Convert to fraction form
    242,702/362,181 = 362,181/x
  3. Step 3: Cross multiply
    242,702x = 362,181 × 362,181
  4. Step 4: Simplify right side
    242,702x = 131,175,076,761
  5. Step 5: Solve for x
    x = 131,175,076,761/242,702
  6. Step 6: Final answer
    x = 540,477.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.