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Finding the Third Proportional to 139,174 and 310,222

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Solution

The third proportional to 139,174 and 310,222 is: 691,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,174 : 310,222 = 310,222 : x
  2. Step 2: Convert to fraction form
    139,174/310,222 = 310,222/x
  3. Step 3: Cross multiply
    139,174x = 310,222 × 310,222
  4. Step 4: Simplify right side
    139,174x = 96,237,689,284
  5. Step 5: Solve for x
    x = 96,237,689,284/139,174
  6. Step 6: Final answer
    x = 691,491.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.