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Finding the Third Proportional to 103,732 and 234,394

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Solution

The third proportional to 103,732 and 234,394 is: 529,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,732 : 234,394 = 234,394 : x
  2. Step 2: Convert to fraction form
    103,732/234,394 = 234,394/x
  3. Step 3: Cross multiply
    103,732x = 234,394 × 234,394
  4. Step 4: Simplify right side
    103,732x = 54,940,547,236
  5. Step 5: Solve for x
    x = 54,940,547,236/103,732
  6. Step 6: Final answer
    x = 529,639.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.