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Finding the Third Proportional to 169,762 and 368,729

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Solution

The third proportional to 169,762 and 368,729 is: 800,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,762 : 368,729 = 368,729 : x
  2. Step 2: Convert to fraction form
    169,762/368,729 = 368,729/x
  3. Step 3: Cross multiply
    169,762x = 368,729 × 368,729
  4. Step 4: Simplify right side
    169,762x = 135,961,075,441
  5. Step 5: Solve for x
    x = 135,961,075,441/169,762
  6. Step 6: Final answer
    x = 800,892.28

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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.