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Finding the Third Proportional to 159,834 and 344,596

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Solution

The third proportional to 159,834 and 344,596 is: 742,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,834 : 344,596 = 344,596 : x
  2. Step 2: Convert to fraction form
    159,834/344,596 = 344,596/x
  3. Step 3: Cross multiply
    159,834x = 344,596 × 344,596
  4. Step 4: Simplify right side
    159,834x = 118,746,403,216
  5. Step 5: Solve for x
    x = 118,746,403,216/159,834
  6. Step 6: Final answer
    x = 742,935.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.