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Finding the Third Proportional to 172,913.06 and 264,616.88

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Solution

The third proportional to 172,913.06 and 264,616.88 is: 404,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,913.06 : 264,616.88 = 264,616.88 : x
  2. Step 2: Convert to fraction form
    172,913.06/264,616.88 = 264,616.88/x
  3. Step 3: Cross multiply
    172,913.06x = 264,616.88 × 264,616.88
  4. Step 4: Simplify right side
    172,913.06x = 70,022,090,534.77
  5. Step 5: Solve for x
    x = 70,022,090,534.77/172,913.06
  6. Step 6: Final answer
    x = 404,955.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.