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Finding the Third Proportional to 141,751.50 and 289,983

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Solution

The third proportional to 141,751.50 and 289,983 is: 593,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,751.50 : 289,983 = 289,983 : x
  2. Step 2: Convert to fraction form
    141,751.50/289,983 = 289,983/x
  3. Step 3: Cross multiply
    141,751.50x = 289,983 × 289,983
  4. Step 4: Simplify right side
    141,751.50x = 84,090,140,289
  5. Step 5: Solve for x
    x = 84,090,140,289/141,751.50
  6. Step 6: Final answer
    x = 593,222.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.