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Finding the Third Proportional to 194,003.25 and 289,810.13

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Solution

The third proportional to 194,003.25 and 289,810.13 is: 432,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,003.25 : 289,810.13 = 289,810.13 : x
  2. Step 2: Convert to fraction form
    194,003.25/289,810.13 = 289,810.13/x
  3. Step 3: Cross multiply
    194,003.25x = 289,810.13 × 289,810.13
  4. Step 4: Simplify right side
    194,003.25x = 83,989,908,552.52
  5. Step 5: Solve for x
    x = 83,989,908,552.52/194,003.25
  6. Step 6: Final answer
    x = 432,930.42

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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.