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Finding the Third Proportional to 152,404 and 236,321

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Solution

The third proportional to 152,404 and 236,321 is: 366,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,404 : 236,321 = 236,321 : x
  2. Step 2: Convert to fraction form
    152,404/236,321 = 236,321/x
  3. Step 3: Cross multiply
    152,404x = 236,321 × 236,321
  4. Step 4: Simplify right side
    152,404x = 55,847,615,041
  5. Step 5: Solve for x
    x = 55,847,615,041/152,404
  6. Step 6: Final answer
    x = 366,444.55

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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.