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Finding the Third Proportional to 133,046 and 210,636

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Solution

The third proportional to 133,046 and 210,636 is: 333,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 210,636 = 210,636 : x
  2. Step 2: Convert to fraction form
    133,046/210,636 = 210,636/x
  3. Step 3: Cross multiply
    133,046x = 210,636 × 210,636
  4. Step 4: Simplify right side
    133,046x = 44,367,524,496
  5. Step 5: Solve for x
    x = 44,367,524,496/133,046
  6. Step 6: Final answer
    x = 333,475.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.