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Finding the Third Proportional to 169,572 and 365,388

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Solution

The third proportional to 169,572 and 365,388 is: 787,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,572 : 365,388 = 365,388 : x
  2. Step 2: Convert to fraction form
    169,572/365,388 = 365,388/x
  3. Step 3: Cross multiply
    169,572x = 365,388 × 365,388
  4. Step 4: Simplify right side
    169,572x = 133,508,390,544
  5. Step 5: Solve for x
    x = 133,508,390,544/169,572
  6. Step 6: Final answer
    x = 787,325.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.