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Finding the Third Proportional to 159,840 and 344,583

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Solution

The third proportional to 159,840 and 344,583 is: 742,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,840 : 344,583 = 344,583 : x
  2. Step 2: Convert to fraction form
    159,840/344,583 = 344,583/x
  3. Step 3: Cross multiply
    159,840x = 344,583 × 344,583
  4. Step 4: Simplify right side
    159,840x = 118,737,443,889
  5. Step 5: Solve for x
    x = 118,737,443,889/159,840
  6. Step 6: Final answer
    x = 742,851.88

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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.