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Finding the Third Proportional to 169,464.38 and 262,614.94

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Solution

The third proportional to 169,464.38 and 262,614.94 is: 406,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,464.38 : 262,614.94 = 262,614.94 : x
  2. Step 2: Convert to fraction form
    169,464.38/262,614.94 = 262,614.94/x
  3. Step 3: Cross multiply
    169,464.38x = 262,614.94 × 262,614.94
  4. Step 4: Simplify right side
    169,464.38x = 68,966,605,398.13
  5. Step 5: Solve for x
    x = 68,966,605,398.13/169,464.38
  6. Step 6: Final answer
    x = 406,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.