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Finding the Third Proportional to 194,044 and 424,159

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Solution

The third proportional to 194,044 and 424,159 is: 927,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,044 : 424,159 = 424,159 : x
  2. Step 2: Convert to fraction form
    194,044/424,159 = 424,159/x
  3. Step 3: Cross multiply
    194,044x = 424,159 × 424,159
  4. Step 4: Simplify right side
    194,044x = 179,910,857,281
  5. Step 5: Solve for x
    x = 179,910,857,281/194,044
  6. Step 6: Final answer
    x = 927,165.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.