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Finding the Third Proportional to 156,907.13 and 322,086.38

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Solution

The third proportional to 156,907.13 and 322,086.38 is: 661,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,907.13 : 322,086.38 = 322,086.38 : x
  2. Step 2: Convert to fraction form
    156,907.13/322,086.38 = 322,086.38/x
  3. Step 3: Cross multiply
    156,907.13x = 322,086.38 × 322,086.38
  4. Step 4: Simplify right side
    156,907.13x = 103,739,632,960.64
  5. Step 5: Solve for x
    x = 103,739,632,960.64/156,907.13
  6. Step 6: Final answer
    x = 661,153.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.