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Finding the Third Proportional to 175,516.88 and 264,513.94

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Solution

The third proportional to 175,516.88 and 264,513.94 is: 398,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,516.88 : 264,513.94 = 264,513.94 : x
  2. Step 2: Convert to fraction form
    175,516.88/264,513.94 = 264,513.94/x
  3. Step 3: Cross multiply
    175,516.88x = 264,513.94 × 264,513.94
  4. Step 4: Simplify right side
    175,516.88x = 69,967,623,131.75
  5. Step 5: Solve for x
    x = 69,967,623,131.75/175,516.88
  6. Step 6: Final answer
    x = 398,637.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.