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Finding the Third Proportional to 174,823 and 383,342

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Solution

The third proportional to 174,823 and 383,342 is: 840,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,823 : 383,342 = 383,342 : x
  2. Step 2: Convert to fraction form
    174,823/383,342 = 383,342/x
  3. Step 3: Cross multiply
    174,823x = 383,342 × 383,342
  4. Step 4: Simplify right side
    174,823x = 146,951,088,964
  5. Step 5: Solve for x
    x = 146,951,088,964/174,823
  6. Step 6: Final answer
    x = 840,570.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.