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Finding the Third Proportional to 141,826.50 and 302,427

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Solution

The third proportional to 141,826.50 and 302,427 is: 644,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,826.50 : 302,427 = 302,427 : x
  2. Step 2: Convert to fraction form
    141,826.50/302,427 = 302,427/x
  3. Step 3: Cross multiply
    141,826.50x = 302,427 × 302,427
  4. Step 4: Simplify right side
    141,826.50x = 91,462,090,329
  5. Step 5: Solve for x
    x = 91,462,090,329/141,826.50
  6. Step 6: Final answer
    x = 644,887.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.