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Finding the Third Proportional to 253,775.25 and 357,056.44

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Solution

The third proportional to 253,775.25 and 357,056.44 is: 502,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,775.25 : 357,056.44 = 357,056.44 : x
  2. Step 2: Convert to fraction form
    253,775.25/357,056.44 = 357,056.44/x
  3. Step 3: Cross multiply
    253,775.25x = 357,056.44 × 357,056.44
  4. Step 4: Simplify right side
    253,775.25x = 127,489,299,560.19
  5. Step 5: Solve for x
    x = 127,489,299,560.19/253,775.25
  6. Step 6: Final answer
    x = 502,370.90

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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.