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Finding the Third Proportional to 194,774.63 and 298,981.13

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Solution

The third proportional to 194,774.63 and 298,981.13 is: 458,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,774.63 : 298,981.13 = 298,981.13 : x
  2. Step 2: Convert to fraction form
    194,774.63/298,981.13 = 298,981.13/x
  3. Step 3: Cross multiply
    194,774.63x = 298,981.13 × 298,981.13
  4. Step 4: Simplify right side
    194,774.63x = 89,389,713,106.27
  5. Step 5: Solve for x
    x = 89,389,713,106.27/194,774.63
  6. Step 6: Final answer
    x = 458,939.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.