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Finding the Third Proportional to 139,038 and 303,572

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Solution

The third proportional to 139,038 and 303,572 is: 662,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,038 : 303,572 = 303,572 : x
  2. Step 2: Convert to fraction form
    139,038/303,572 = 303,572/x
  3. Step 3: Cross multiply
    139,038x = 303,572 × 303,572
  4. Step 4: Simplify right side
    139,038x = 92,155,959,184
  5. Step 5: Solve for x
    x = 92,155,959,184/139,038
  6. Step 6: Final answer
    x = 662,811.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.