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Finding the Third Proportional to 225,264 and 314,932.50

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Solution

The third proportional to 225,264 and 314,932.50 is: 440,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,264 : 314,932.50 = 314,932.50 : x
  2. Step 2: Convert to fraction form
    225,264/314,932.50 = 314,932.50/x
  3. Step 3: Cross multiply
    225,264x = 314,932.50 × 314,932.50
  4. Step 4: Simplify right side
    225,264x = 99,182,479,556.25
  5. Step 5: Solve for x
    x = 99,182,479,556.25/225,264
  6. Step 6: Final answer
    x = 440,294.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.