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Finding the Third Proportional to 152,292 and 219,358

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Solution

The third proportional to 152,292 and 219,358 is: 315,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,292 : 219,358 = 219,358 : x
  2. Step 2: Convert to fraction form
    152,292/219,358 = 219,358/x
  3. Step 3: Cross multiply
    152,292x = 219,358 × 219,358
  4. Step 4: Simplify right side
    152,292x = 48,117,932,164
  5. Step 5: Solve for x
    x = 48,117,932,164/152,292
  6. Step 6: Final answer
    x = 315,958.37

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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.