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Finding the Third Proportional to 159,572 and 236,277

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Solution

The third proportional to 159,572 and 236,277 is: 349,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,572 : 236,277 = 236,277 : x
  2. Step 2: Convert to fraction form
    159,572/236,277 = 236,277/x
  3. Step 3: Cross multiply
    159,572x = 236,277 × 236,277
  4. Step 4: Simplify right side
    159,572x = 55,826,820,729
  5. Step 5: Solve for x
    x = 55,826,820,729/159,572
  6. Step 6: Final answer
    x = 349,853.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.