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Finding the Third Proportional to 153,984 and 230,976

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Solution

The third proportional to 153,984 and 230,976 is: 346,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,984 : 230,976 = 230,976 : x
  2. Step 2: Convert to fraction form
    153,984/230,976 = 230,976/x
  3. Step 3: Cross multiply
    153,984x = 230,976 × 230,976
  4. Step 4: Simplify right side
    153,984x = 53,349,912,576
  5. Step 5: Solve for x
    x = 53,349,912,576/153,984
  6. Step 6: Final answer
    x = 346,464

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.