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Finding the Third Proportional to 109,116 and 235,446

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Solution

The third proportional to 109,116 and 235,446 is: 508,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,116 : 235,446 = 235,446 : x
  2. Step 2: Convert to fraction form
    109,116/235,446 = 235,446/x
  3. Step 3: Cross multiply
    109,116x = 235,446 × 235,446
  4. Step 4: Simplify right side
    109,116x = 55,434,818,916
  5. Step 5: Solve for x
    x = 55,434,818,916/109,116
  6. Step 6: Final answer
    x = 508,035.66

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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.