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Finding the Third Proportional to 215,632 and 308,768

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Solution

The third proportional to 215,632 and 308,768 is: 442,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,632 : 308,768 = 308,768 : x
  2. Step 2: Convert to fraction form
    215,632/308,768 = 308,768/x
  3. Step 3: Cross multiply
    215,632x = 308,768 × 308,768
  4. Step 4: Simplify right side
    215,632x = 95,337,677,824
  5. Step 5: Solve for x
    x = 95,337,677,824/215,632
  6. Step 6: Final answer
    x = 442,131.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.