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Finding the Third Proportional to 146,368 and 225,960

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Solution

The third proportional to 146,368 and 225,960 is: 348,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368 : 225,960 = 225,960 : x
  2. Step 2: Convert to fraction form
    146,368/225,960 = 225,960/x
  3. Step 3: Cross multiply
    146,368x = 225,960 × 225,960
  4. Step 4: Simplify right side
    146,368x = 51,057,921,600
  5. Step 5: Solve for x
    x = 51,057,921,600/146,368
  6. Step 6: Final answer
    x = 348,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.