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Finding the Third Proportional to 194,044 and 424,160

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Solution

The third proportional to 194,044 and 424,160 is: 927,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,044 : 424,160 = 424,160 : x
  2. Step 2: Convert to fraction form
    194,044/424,160 = 424,160/x
  3. Step 3: Cross multiply
    194,044x = 424,160 × 424,160
  4. Step 4: Simplify right side
    194,044x = 179,911,705,600
  5. Step 5: Solve for x
    x = 179,911,705,600/194,044
  6. Step 6: Final answer
    x = 927,169.64

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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.