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Finding the Third Proportional to 162,662 and 346,060

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Solution

The third proportional to 162,662 and 346,060 is: 736,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,662 : 346,060 = 346,060 : x
  2. Step 2: Convert to fraction form
    162,662/346,060 = 346,060/x
  3. Step 3: Cross multiply
    162,662x = 346,060 × 346,060
  4. Step 4: Simplify right side
    162,662x = 119,757,523,600
  5. Step 5: Solve for x
    x = 119,757,523,600/162,662
  6. Step 6: Final answer
    x = 736,235.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.