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Finding the Third Proportional to 225,054 and 338,310

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Solution

The third proportional to 225,054 and 338,310 is: 508,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,054 : 338,310 = 338,310 : x
  2. Step 2: Convert to fraction form
    225,054/338,310 = 338,310/x
  3. Step 3: Cross multiply
    225,054x = 338,310 × 338,310
  4. Step 4: Simplify right side
    225,054x = 114,453,656,100
  5. Step 5: Solve for x
    x = 114,453,656,100/225,054
  6. Step 6: Final answer
    x = 508,560.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.