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Finding the Third Proportional to 152,290 and 219,355

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Solution

The third proportional to 152,290 and 219,355 is: 315,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,290 : 219,355 = 219,355 : x
  2. Step 2: Convert to fraction form
    152,290/219,355 = 219,355/x
  3. Step 3: Cross multiply
    152,290x = 219,355 × 219,355
  4. Step 4: Simplify right side
    152,290x = 48,116,616,025
  5. Step 5: Solve for x
    x = 48,116,616,025/152,290
  6. Step 6: Final answer
    x = 315,953.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.