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Finding the Third Proportional to 253,766.75 and 357,044.84

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Solution

The third proportional to 253,766.75 and 357,044.84 is: 502,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,766.75 : 357,044.84 = 357,044.84 : x
  2. Step 2: Convert to fraction form
    253,766.75/357,044.84 = 357,044.84/x
  3. Step 3: Cross multiply
    253,766.75x = 357,044.84 × 357,044.84
  4. Step 4: Simplify right side
    253,766.75x = 127,481,014,869.64
  5. Step 5: Solve for x
    x = 127,481,014,869.64/253,766.75
  6. Step 6: Final answer
    x = 502,355.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.