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Finding the Third Proportional to 146,653 and 228,743

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Solution

The third proportional to 146,653 and 228,743 is: 356,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,653 : 228,743 = 228,743 : x
  2. Step 2: Convert to fraction form
    146,653/228,743 = 228,743/x
  3. Step 3: Cross multiply
    146,653x = 228,743 × 228,743
  4. Step 4: Simplify right side
    146,653x = 52,323,360,049
  5. Step 5: Solve for x
    x = 52,323,360,049/146,653
  6. Step 6: Final answer
    x = 356,783.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.