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Finding the Third Proportional to 109,442 and 235,624

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Solution

The third proportional to 109,442 and 235,624 is: 507,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,442 : 235,624 = 235,624 : x
  2. Step 2: Convert to fraction form
    109,442/235,624 = 235,624/x
  3. Step 3: Cross multiply
    109,442x = 235,624 × 235,624
  4. Step 4: Simplify right side
    109,442x = 55,518,669,376
  5. Step 5: Solve for x
    x = 55,518,669,376/109,442
  6. Step 6: Final answer
    x = 507,288.51

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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.