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Finding the Third Proportional to 282,696 and 437,167

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Solution

The third proportional to 282,696 and 437,167 is: 676,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696 : 437,167 = 437,167 : x
  2. Step 2: Convert to fraction form
    282,696/437,167 = 437,167/x
  3. Step 3: Cross multiply
    282,696x = 437,167 × 437,167
  4. Step 4: Simplify right side
    282,696x = 191,114,985,889
  5. Step 5: Solve for x
    x = 191,114,985,889/282,696
  6. Step 6: Final answer
    x = 676,044.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.