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Finding the Third Proportional to 169,364 and 361,224

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Solution

The third proportional to 169,364 and 361,224 is: 770,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,364 : 361,224 = 361,224 : x
  2. Step 2: Convert to fraction form
    169,364/361,224 = 361,224/x
  3. Step 3: Cross multiply
    169,364x = 361,224 × 361,224
  4. Step 4: Simplify right side
    169,364x = 130,482,778,176
  5. Step 5: Solve for x
    x = 130,482,778,176/169,364
  6. Step 6: Final answer
    x = 770,428.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.