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Finding the Third Proportional to 211,464 and 288,028

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Solution

The third proportional to 211,464 and 288,028 is: 392,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,464 : 288,028 = 288,028 : x
  2. Step 2: Convert to fraction form
    211,464/288,028 = 288,028/x
  3. Step 3: Cross multiply
    211,464x = 288,028 × 288,028
  4. Step 4: Simplify right side
    211,464x = 82,960,128,784
  5. Step 5: Solve for x
    x = 82,960,128,784/211,464
  6. Step 6: Final answer
    x = 392,313.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.