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Finding the Third Proportional to 159,798 and 344,508

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Solution

The third proportional to 159,798 and 344,508 is: 742,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,798 : 344,508 = 344,508 : x
  2. Step 2: Convert to fraction form
    159,798/344,508 = 344,508/x
  3. Step 3: Cross multiply
    159,798x = 344,508 × 344,508
  4. Step 4: Simplify right side
    159,798x = 118,685,762,064
  5. Step 5: Solve for x
    x = 118,685,762,064/159,798
  6. Step 6: Final answer
    x = 742,723.70

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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.