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Finding the Third Proportional to 146,972 and 219,886

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Solution

The third proportional to 146,972 and 219,886 is: 328,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,972 : 219,886 = 219,886 : x
  2. Step 2: Convert to fraction form
    146,972/219,886 = 219,886/x
  3. Step 3: Cross multiply
    146,972x = 219,886 × 219,886
  4. Step 4: Simplify right side
    146,972x = 48,349,852,996
  5. Step 5: Solve for x
    x = 48,349,852,996/146,972
  6. Step 6: Final answer
    x = 328,973.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.