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Finding the Third Proportional to 77,404 and 162,224

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Solution

The third proportional to 77,404 and 162,224 is: 339,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404 : 162,224 = 162,224 : x
  2. Step 2: Convert to fraction form
    77,404/162,224 = 162,224/x
  3. Step 3: Cross multiply
    77,404x = 162,224 × 162,224
  4. Step 4: Simplify right side
    77,404x = 26,316,626,176
  5. Step 5: Solve for x
    x = 26,316,626,176/77,404
  6. Step 6: Final answer
    x = 339,990.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.