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Finding the Third Proportional to 146,080 and 208,752

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Solution

The third proportional to 146,080 and 208,752 is: 298,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,080 : 208,752 = 208,752 : x
  2. Step 2: Convert to fraction form
    146,080/208,752 = 208,752/x
  3. Step 3: Cross multiply
    146,080x = 208,752 × 208,752
  4. Step 4: Simplify right side
    146,080x = 43,577,397,504
  5. Step 5: Solve for x
    x = 43,577,397,504/146,080
  6. Step 6: Final answer
    x = 298,311.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.