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Finding the Third Proportional to 169,152 and 367,461

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Solution

The third proportional to 169,152 and 367,461 is: 798,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,152 : 367,461 = 367,461 : x
  2. Step 2: Convert to fraction form
    169,152/367,461 = 367,461/x
  3. Step 3: Cross multiply
    169,152x = 367,461 × 367,461
  4. Step 4: Simplify right side
    169,152x = 135,027,586,521
  5. Step 5: Solve for x
    x = 135,027,586,521/169,152
  6. Step 6: Final answer
    x = 798,261.84

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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.