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Finding the Third Proportional to 161,783 and 244,937

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Solution

The third proportional to 161,783 and 244,937 is: 370,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,783 : 244,937 = 244,937 : x
  2. Step 2: Convert to fraction form
    161,783/244,937 = 244,937/x
  3. Step 3: Cross multiply
    161,783x = 244,937 × 244,937
  4. Step 4: Simplify right side
    161,783x = 59,994,133,969
  5. Step 5: Solve for x
    x = 59,994,133,969/161,783
  6. Step 6: Final answer
    x = 370,830.89

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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.