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Finding the Third Proportional to 213,133 and 318,237

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Solution

The third proportional to 213,133 and 318,237 is: 475,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133 : 318,237 = 318,237 : x
  2. Step 2: Convert to fraction form
    213,133/318,237 = 318,237/x
  3. Step 3: Cross multiply
    213,133x = 318,237 × 318,237
  4. Step 4: Simplify right side
    213,133x = 101,274,788,169
  5. Step 5: Solve for x
    x = 101,274,788,169/213,133
  6. Step 6: Final answer
    x = 475,171.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.