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Finding the Third Proportional to 207,950.63 and 289,737

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Solution

The third proportional to 207,950.63 and 289,737 is: 403,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,950.63 : 289,737 = 289,737 : x
  2. Step 2: Convert to fraction form
    207,950.63/289,737 = 289,737/x
  3. Step 3: Cross multiply
    207,950.63x = 289,737 × 289,737
  4. Step 4: Simplify right side
    207,950.63x = 83,947,529,169
  5. Step 5: Solve for x
    x = 83,947,529,169/207,950.63
  6. Step 6: Final answer
    x = 403,689.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.