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Finding the Third Proportional to 169,369 and 368,263

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Solution

The third proportional to 169,369 and 368,263 is: 800,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,369 : 368,263 = 368,263 : x
  2. Step 2: Convert to fraction form
    169,369/368,263 = 368,263/x
  3. Step 3: Cross multiply
    169,369x = 368,263 × 368,263
  4. Step 4: Simplify right side
    169,369x = 135,617,637,169
  5. Step 5: Solve for x
    x = 135,617,637,169/169,369
  6. Step 6: Final answer
    x = 800,722.90

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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.