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Finding the Third Proportional to 151,632 and 237,864

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Solution

The third proportional to 151,632 and 237,864 is: 373,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,632 : 237,864 = 237,864 : x
  2. Step 2: Convert to fraction form
    151,632/237,864 = 237,864/x
  3. Step 3: Cross multiply
    151,632x = 237,864 × 237,864
  4. Step 4: Simplify right side
    151,632x = 56,579,282,496
  5. Step 5: Solve for x
    x = 56,579,282,496/151,632
  6. Step 6: Final answer
    x = 373,135.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.