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Finding the Third Proportional to 109,334 and 235,435

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Solution

The third proportional to 109,334 and 235,435 is: 506,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,334 : 235,435 = 235,435 : x
  2. Step 2: Convert to fraction form
    109,334/235,435 = 235,435/x
  3. Step 3: Cross multiply
    109,334x = 235,435 × 235,435
  4. Step 4: Simplify right side
    109,334x = 55,429,639,225
  5. Step 5: Solve for x
    x = 55,429,639,225/109,334
  6. Step 6: Final answer
    x = 506,975.32

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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.