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Finding the Third Proportional to 109,416 and 235,570

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Solution

The third proportional to 109,416 and 235,570 is: 507,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,416 : 235,570 = 235,570 : x
  2. Step 2: Convert to fraction form
    109,416/235,570 = 235,570/x
  3. Step 3: Cross multiply
    109,416x = 235,570 × 235,570
  4. Step 4: Simplify right side
    109,416x = 55,493,224,900
  5. Step 5: Solve for x
    x = 55,493,224,900/109,416
  6. Step 6: Final answer
    x = 507,176.51

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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.