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Finding the Third Proportional to 109,624 and 235,880

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Solution

The third proportional to 109,624 and 235,880 is: 507,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,624 : 235,880 = 235,880 : x
  2. Step 2: Convert to fraction form
    109,624/235,880 = 235,880/x
  3. Step 3: Cross multiply
    109,624x = 235,880 × 235,880
  4. Step 4: Simplify right side
    109,624x = 55,639,374,400
  5. Step 5: Solve for x
    x = 55,639,374,400/109,624
  6. Step 6: Final answer
    x = 507,547.38

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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.