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Finding the Third Proportional to 152,442 and 229,786.88

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Solution

The third proportional to 152,442 and 229,786.88 is: 346,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,442 : 229,786.88 = 229,786.88 : x
  2. Step 2: Convert to fraction form
    152,442/229,786.88 = 229,786.88/x
  3. Step 3: Cross multiply
    152,442x = 229,786.88 × 229,786.88
  4. Step 4: Simplify right side
    152,442x = 52,802,007,922.27
  5. Step 5: Solve for x
    x = 52,802,007,922.27/152,442
  6. Step 6: Final answer
    x = 346,374.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.