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Finding the Third Proportional to 152,022.38 and 351,941.63

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Solution

The third proportional to 152,022.38 and 351,941.63 is: 814,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,022.38 : 351,941.63 = 351,941.63 : x
  2. Step 2: Convert to fraction form
    152,022.38/351,941.63 = 351,941.63/x
  3. Step 3: Cross multiply
    152,022.38x = 351,941.63 × 351,941.63
  4. Step 4: Simplify right side
    152,022.38x = 123,862,907,407.64
  5. Step 5: Solve for x
    x = 123,862,907,407.64/152,022.38
  6. Step 6: Final answer
    x = 814,767.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.