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Finding the Third Proportional to 152,798 and 340,586

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Solution

The third proportional to 152,798 and 340,586 is: 759,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,798 : 340,586 = 340,586 : x
  2. Step 2: Convert to fraction form
    152,798/340,586 = 340,586/x
  3. Step 3: Cross multiply
    152,798x = 340,586 × 340,586
  4. Step 4: Simplify right side
    152,798x = 115,998,823,396
  5. Step 5: Solve for x
    x = 115,998,823,396/152,798
  6. Step 6: Final answer
    x = 759,164.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.