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Finding the Third Proportional to 236,540 and 376,304

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Solution

The third proportional to 236,540 and 376,304 is: 598,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,540 : 376,304 = 376,304 : x
  2. Step 2: Convert to fraction form
    236,540/376,304 = 376,304/x
  3. Step 3: Cross multiply
    236,540x = 376,304 × 376,304
  4. Step 4: Simplify right side
    236,540x = 141,604,700,416
  5. Step 5: Solve for x
    x = 141,604,700,416/236,540
  6. Step 6: Final answer
    x = 598,650.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.