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Finding the Third Proportional to 109,473 and 235,827

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Solution

The third proportional to 109,473 and 235,827 is: 508,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,473 : 235,827 = 235,827 : x
  2. Step 2: Convert to fraction form
    109,473/235,827 = 235,827/x
  3. Step 3: Cross multiply
    109,473x = 235,827 × 235,827
  4. Step 4: Simplify right side
    109,473x = 55,614,373,929
  5. Step 5: Solve for x
    x = 55,614,373,929/109,473
  6. Step 6: Final answer
    x = 508,019.09

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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.