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Finding the Third Proportional to 109,363 and 235,007

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Solution

The third proportional to 109,363 and 235,007 is: 504,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,363 : 235,007 = 235,007 : x
  2. Step 2: Convert to fraction form
    109,363/235,007 = 235,007/x
  3. Step 3: Cross multiply
    109,363x = 235,007 × 235,007
  4. Step 4: Simplify right side
    109,363x = 55,228,290,049
  5. Step 5: Solve for x
    x = 55,228,290,049/109,363
  6. Step 6: Final answer
    x = 504,999.77

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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.