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Finding the Third Proportional to 167,551 and 358,753

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Solution

The third proportional to 167,551 and 358,753 is: 768,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,551 : 358,753 = 358,753 : x
  2. Step 2: Convert to fraction form
    167,551/358,753 = 358,753/x
  3. Step 3: Cross multiply
    167,551x = 358,753 × 358,753
  4. Step 4: Simplify right side
    167,551x = 128,703,715,009
  5. Step 5: Solve for x
    x = 128,703,715,009/167,551
  6. Step 6: Final answer
    x = 768,146.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.