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Finding the Third Proportional to 162,666 and 352,476

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Solution

The third proportional to 162,666 and 352,476 is: 763,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,666 : 352,476 = 352,476 : x
  2. Step 2: Convert to fraction form
    162,666/352,476 = 352,476/x
  3. Step 3: Cross multiply
    162,666x = 352,476 × 352,476
  4. Step 4: Simplify right side
    162,666x = 124,239,330,576
  5. Step 5: Solve for x
    x = 124,239,330,576/162,666
  6. Step 6: Final answer
    x = 763,769.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.