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Finding the Third Proportional to 152,122 and 236,480

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Solution

The third proportional to 152,122 and 236,480 is: 367,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,122 : 236,480 = 236,480 : x
  2. Step 2: Convert to fraction form
    152,122/236,480 = 236,480/x
  3. Step 3: Cross multiply
    152,122x = 236,480 × 236,480
  4. Step 4: Simplify right side
    152,122x = 55,922,790,400
  5. Step 5: Solve for x
    x = 55,922,790,400/152,122
  6. Step 6: Final answer
    x = 367,618.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.