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Finding the Third Proportional to 169,356 and 378,808

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Solution

The third proportional to 169,356 and 378,808 is: 847,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,356 : 378,808 = 378,808 : x
  2. Step 2: Convert to fraction form
    169,356/378,808 = 378,808/x
  3. Step 3: Cross multiply
    169,356x = 378,808 × 378,808
  4. Step 4: Simplify right side
    169,356x = 143,495,500,864
  5. Step 5: Solve for x
    x = 143,495,500,864/169,356
  6. Step 6: Final answer
    x = 847,300.96

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.