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Finding the Third Proportional to 109,208 and 235,156

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Solution

The third proportional to 109,208 and 235,156 is: 506,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,208 : 235,156 = 235,156 : x
  2. Step 2: Convert to fraction form
    109,208/235,156 = 235,156/x
  3. Step 3: Cross multiply
    109,208x = 235,156 × 235,156
  4. Step 4: Simplify right side
    109,208x = 55,298,344,336
  5. Step 5: Solve for x
    x = 55,298,344,336/109,208
  6. Step 6: Final answer
    x = 506,358.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.