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Finding the Third Proportional to 109,368 and 235,806

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Solution

The third proportional to 109,368 and 235,806 is: 508,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368 : 235,806 = 235,806 : x
  2. Step 2: Convert to fraction form
    109,368/235,806 = 235,806/x
  3. Step 3: Cross multiply
    109,368x = 235,806 × 235,806
  4. Step 4: Simplify right side
    109,368x = 55,604,469,636
  5. Step 5: Solve for x
    x = 55,604,469,636/109,368
  6. Step 6: Final answer
    x = 508,416.26

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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.