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Finding the Third Proportional to 225,068 and 348,385

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Solution

The third proportional to 225,068 and 348,385 is: 539,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,068 : 348,385 = 348,385 : x
  2. Step 2: Convert to fraction form
    225,068/348,385 = 348,385/x
  3. Step 3: Cross multiply
    225,068x = 348,385 × 348,385
  4. Step 4: Simplify right side
    225,068x = 121,372,108,225
  5. Step 5: Solve for x
    x = 121,372,108,225/225,068
  6. Step 6: Final answer
    x = 539,268.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.