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Finding the Third Proportional to 188,603.81 and 406,610.63

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Solution

The third proportional to 188,603.81 and 406,610.63 is: 876,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,603.81 : 406,610.63 = 406,610.63 : x
  2. Step 2: Convert to fraction form
    188,603.81/406,610.63 = 406,610.63/x
  3. Step 3: Cross multiply
    188,603.81x = 406,610.63 × 406,610.63
  4. Step 4: Simplify right side
    188,603.81x = 165,332,200,362.89
  5. Step 5: Solve for x
    x = 165,332,200,362.89/188,603.81
  6. Step 6: Final answer
    x = 876,611.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.