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Finding the Third Proportional to 194,143 and 424,206

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Solution

The third proportional to 194,143 and 424,206 is: 926,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,143 : 424,206 = 424,206 : x
  2. Step 2: Convert to fraction form
    194,143/424,206 = 424,206/x
  3. Step 3: Cross multiply
    194,143x = 424,206 × 424,206
  4. Step 4: Simplify right side
    194,143x = 179,950,730,436
  5. Step 5: Solve for x
    x = 179,950,730,436/194,143
  6. Step 6: Final answer
    x = 926,897.86

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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.