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Finding the Third Proportional to 109,464 and 236,028

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Solution

The third proportional to 109,464 and 236,028 is: 508,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464 : 236,028 = 236,028 : x
  2. Step 2: Convert to fraction form
    109,464/236,028 = 236,028/x
  3. Step 3: Cross multiply
    109,464x = 236,028 × 236,028
  4. Step 4: Simplify right side
    109,464x = 55,709,216,784
  5. Step 5: Solve for x
    x = 55,709,216,784/109,464
  6. Step 6: Final answer
    x = 508,927.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.