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Finding the Third Proportional to 228,784 and 344,976

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Solution

The third proportional to 228,784 and 344,976 is: 520,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,784 : 344,976 = 344,976 : x
  2. Step 2: Convert to fraction form
    228,784/344,976 = 344,976/x
  3. Step 3: Cross multiply
    228,784x = 344,976 × 344,976
  4. Step 4: Simplify right side
    228,784x = 119,008,440,576
  5. Step 5: Solve for x
    x = 119,008,440,576/228,784
  6. Step 6: Final answer
    x = 520,178.16

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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.