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Finding the Third Proportional to 152,197 and 236,582.75

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Solution

The third proportional to 152,197 and 236,582.75 is: 367,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,197 : 236,582.75 = 236,582.75 : x
  2. Step 2: Convert to fraction form
    152,197/236,582.75 = 236,582.75/x
  3. Step 3: Cross multiply
    152,197x = 236,582.75 × 236,582.75
  4. Step 4: Simplify right side
    152,197x = 55,971,397,597.56
  5. Step 5: Solve for x
    x = 55,971,397,597.56/152,197
  6. Step 6: Final answer
    x = 367,756.25

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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.