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Finding the Third Proportional to 161,784 and 244,938

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Solution

The third proportional to 161,784 and 244,938 is: 370,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,784 : 244,938 = 244,938 : x
  2. Step 2: Convert to fraction form
    161,784/244,938 = 244,938/x
  3. Step 3: Cross multiply
    161,784x = 244,938 × 244,938
  4. Step 4: Simplify right side
    161,784x = 59,994,623,844
  5. Step 5: Solve for x
    x = 59,994,623,844/161,784
  6. Step 6: Final answer
    x = 370,831.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.