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Finding the Third Proportional to 115,708 and 240,632

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Solution

The third proportional to 115,708 and 240,632 is: 500,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,708 : 240,632 = 240,632 : x
  2. Step 2: Convert to fraction form
    115,708/240,632 = 240,632/x
  3. Step 3: Cross multiply
    115,708x = 240,632 × 240,632
  4. Step 4: Simplify right side
    115,708x = 57,903,759,424
  5. Step 5: Solve for x
    x = 57,903,759,424/115,708
  6. Step 6: Final answer
    x = 500,430.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.