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Finding the Third Proportional to 106,651.50 and 233,391

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Solution

The third proportional to 106,651.50 and 233,391 is: 510,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651.50 : 233,391 = 233,391 : x
  2. Step 2: Convert to fraction form
    106,651.50/233,391 = 233,391/x
  3. Step 3: Cross multiply
    106,651.50x = 233,391 × 233,391
  4. Step 4: Simplify right side
    106,651.50x = 54,471,358,881
  5. Step 5: Solve for x
    x = 54,471,358,881/106,651.50
  6. Step 6: Final answer
    x = 510,741.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.