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Finding the Third Proportional to 162,964 and 356,552

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Solution

The third proportional to 162,964 and 356,552 is: 780,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,964 : 356,552 = 356,552 : x
  2. Step 2: Convert to fraction form
    162,964/356,552 = 356,552/x
  3. Step 3: Cross multiply
    162,964x = 356,552 × 356,552
  4. Step 4: Simplify right side
    162,964x = 127,129,328,704
  5. Step 5: Solve for x
    x = 127,129,328,704/162,964
  6. Step 6: Final answer
    x = 780,106.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.