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Finding the Third Proportional to 139,437 and 305,487

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Solution

The third proportional to 139,437 and 305,487 is: 669,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,437 : 305,487 = 305,487 : x
  2. Step 2: Convert to fraction form
    139,437/305,487 = 305,487/x
  3. Step 3: Cross multiply
    139,437x = 305,487 × 305,487
  4. Step 4: Simplify right side
    139,437x = 93,322,307,169
  5. Step 5: Solve for x
    x = 93,322,307,169/139,437
  6. Step 6: Final answer
    x = 669,279.37

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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.