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Finding the Third Proportional to 173,898 and 264,498

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Solution

The third proportional to 173,898 and 264,498 is: 402,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,898 : 264,498 = 264,498 : x
  2. Step 2: Convert to fraction form
    173,898/264,498 = 264,498/x
  3. Step 3: Cross multiply
    173,898x = 264,498 × 264,498
  4. Step 4: Simplify right side
    173,898x = 69,959,192,004
  5. Step 5: Solve for x
    x = 69,959,192,004/173,898
  6. Step 6: Final answer
    x = 402,300.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.