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Finding the Third Proportional to 109,442 and 235,516

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Solution

The third proportional to 109,442 and 235,516 is: 506,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,442 : 235,516 = 235,516 : x
  2. Step 2: Convert to fraction form
    109,442/235,516 = 235,516/x
  3. Step 3: Cross multiply
    109,442x = 235,516 × 235,516
  4. Step 4: Simplify right side
    109,442x = 55,467,786,256
  5. Step 5: Solve for x
    x = 55,467,786,256/109,442
  6. Step 6: Final answer
    x = 506,823.58

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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.