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Finding the Third Proportional to 169,424 and 368,359

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Solution

The third proportional to 169,424 and 368,359 is: 800,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,424 : 368,359 = 368,359 : x
  2. Step 2: Convert to fraction form
    169,424/368,359 = 368,359/x
  3. Step 3: Cross multiply
    169,424x = 368,359 × 368,359
  4. Step 4: Simplify right side
    169,424x = 135,688,352,881
  5. Step 5: Solve for x
    x = 135,688,352,881/169,424
  6. Step 6: Final answer
    x = 800,880.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.