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Finding the Third Proportional to 173,502 and 266,814

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Solution

The third proportional to 173,502 and 266,814 is: 410,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,502 : 266,814 = 266,814 : x
  2. Step 2: Convert to fraction form
    173,502/266,814 = 266,814/x
  3. Step 3: Cross multiply
    173,502x = 266,814 × 266,814
  4. Step 4: Simplify right side
    173,502x = 71,189,710,596
  5. Step 5: Solve for x
    x = 71,189,710,596/173,502
  6. Step 6: Final answer
    x = 410,310.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.