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Finding the Third Proportional to 146,124 and 225,342

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Solution

The third proportional to 146,124 and 225,342 is: 347,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,124 : 225,342 = 225,342 : x
  2. Step 2: Convert to fraction form
    146,124/225,342 = 225,342/x
  3. Step 3: Cross multiply
    146,124x = 225,342 × 225,342
  4. Step 4: Simplify right side
    146,124x = 50,779,016,964
  5. Step 5: Solve for x
    x = 50,779,016,964/146,124
  6. Step 6: Final answer
    x = 347,506.34

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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.