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Finding the Third Proportional to 109,699 and 233,237

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Solution

The third proportional to 109,699 and 233,237 is: 495,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,699 : 233,237 = 233,237 : x
  2. Step 2: Convert to fraction form
    109,699/233,237 = 233,237/x
  3. Step 3: Cross multiply
    109,699x = 233,237 × 233,237
  4. Step 4: Simplify right side
    109,699x = 54,399,498,169
  5. Step 5: Solve for x
    x = 54,399,498,169/109,699
  6. Step 6: Final answer
    x = 495,897.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.