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Finding the Third Proportional to 248,854.50 and 383,022

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Solution

The third proportional to 248,854.50 and 383,022 is: 589,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,854.50 : 383,022 = 383,022 : x
  2. Step 2: Convert to fraction form
    248,854.50/383,022 = 383,022/x
  3. Step 3: Cross multiply
    248,854.50x = 383,022 × 383,022
  4. Step 4: Simplify right side
    248,854.50x = 146,705,852,484
  5. Step 5: Solve for x
    x = 146,705,852,484/248,854.50
  6. Step 6: Final answer
    x = 589,524.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.