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Finding the Third Proportional to 194,017.22 and 289,830.94

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Solution

The third proportional to 194,017.22 and 289,830.94 is: 432,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,017.22 : 289,830.94 = 289,830.94 : x
  2. Step 2: Convert to fraction form
    194,017.22/289,830.94 = 289,830.94/x
  3. Step 3: Cross multiply
    194,017.22x = 289,830.94 × 289,830.94
  4. Step 4: Simplify right side
    194,017.22x = 84,001,972,332.13
  5. Step 5: Solve for x
    x = 84,001,972,332.13/194,017.22
  6. Step 6: Final answer
    x = 432,961.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.