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Finding the Third Proportional to 141,952 and 236,572

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Solution

The third proportional to 141,952 and 236,572 is: 394,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,952 : 236,572 = 236,572 : x
  2. Step 2: Convert to fraction form
    141,952/236,572 = 236,572/x
  3. Step 3: Cross multiply
    141,952x = 236,572 × 236,572
  4. Step 4: Simplify right side
    141,952x = 55,966,311,184
  5. Step 5: Solve for x
    x = 55,966,311,184/141,952
  6. Step 6: Final answer
    x = 394,262.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.