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Finding the Third Proportional to 236,271 and 369,599

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Solution

The third proportional to 236,271 and 369,599 is: 578,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,271 : 369,599 = 369,599 : x
  2. Step 2: Convert to fraction form
    236,271/369,599 = 369,599/x
  3. Step 3: Cross multiply
    236,271x = 369,599 × 369,599
  4. Step 4: Simplify right side
    236,271x = 136,603,420,801
  5. Step 5: Solve for x
    x = 136,603,420,801/236,271
  6. Step 6: Final answer
    x = 578,164.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.