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Finding the Third Proportional to 255,979 and 344,598

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Solution

The third proportional to 255,979 and 344,598 is: 463,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,979 : 344,598 = 344,598 : x
  2. Step 2: Convert to fraction form
    255,979/344,598 = 344,598/x
  3. Step 3: Cross multiply
    255,979x = 344,598 × 344,598
  4. Step 4: Simplify right side
    255,979x = 118,747,781,604
  5. Step 5: Solve for x
    x = 118,747,781,604/255,979
  6. Step 6: Final answer
    x = 463,896.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.