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Finding the Third Proportional to 141,516 and 305,073

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Solution

The third proportional to 141,516 and 305,073 is: 657,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,516 : 305,073 = 305,073 : x
  2. Step 2: Convert to fraction form
    141,516/305,073 = 305,073/x
  3. Step 3: Cross multiply
    141,516x = 305,073 × 305,073
  4. Step 4: Simplify right side
    141,516x = 93,069,535,329
  5. Step 5: Solve for x
    x = 93,069,535,329/141,516
  6. Step 6: Final answer
    x = 657,660.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.