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Finding the Third Proportional to 225,152 and 345,216

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Solution

The third proportional to 225,152 and 345,216 is: 529,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,152 : 345,216 = 345,216 : x
  2. Step 2: Convert to fraction form
    225,152/345,216 = 345,216/x
  3. Step 3: Cross multiply
    225,152x = 345,216 × 345,216
  4. Step 4: Simplify right side
    225,152x = 119,174,086,656
  5. Step 5: Solve for x
    x = 119,174,086,656/225,152
  6. Step 6: Final answer
    x = 529,305.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.