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Finding the Third Proportional to 162,712 and 335,464

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Solution

The third proportional to 162,712 and 335,464 is: 691,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,712 : 335,464 = 335,464 : x
  2. Step 2: Convert to fraction form
    162,712/335,464 = 335,464/x
  3. Step 3: Cross multiply
    162,712x = 335,464 × 335,464
  4. Step 4: Simplify right side
    162,712x = 112,536,095,296
  5. Step 5: Solve for x
    x = 112,536,095,296/162,712
  6. Step 6: Final answer
    x = 691,627.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.