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Finding the Third Proportional to 146,594 and 219,507

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Solution

The third proportional to 146,594 and 219,507 is: 328,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,594 : 219,507 = 219,507 : x
  2. Step 2: Convert to fraction form
    146,594/219,507 = 219,507/x
  3. Step 3: Cross multiply
    146,594x = 219,507 × 219,507
  4. Step 4: Simplify right side
    146,594x = 48,183,323,049
  5. Step 5: Solve for x
    x = 48,183,323,049/146,594
  6. Step 6: Final answer
    x = 328,685.51

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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.