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Finding the Third Proportional to 212,938 and 296,076

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Solution

The third proportional to 212,938 and 296,076 is: 411,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,938 : 296,076 = 296,076 : x
  2. Step 2: Convert to fraction form
    212,938/296,076 = 296,076/x
  3. Step 3: Cross multiply
    212,938x = 296,076 × 296,076
  4. Step 4: Simplify right side
    212,938x = 87,660,997,776
  5. Step 5: Solve for x
    x = 87,660,997,776/212,938
  6. Step 6: Final answer
    x = 411,673.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.