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Finding the Third Proportional to 210,186 and 317,458

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Solution

The third proportional to 210,186 and 317,458 is: 479,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,186 : 317,458 = 317,458 : x
  2. Step 2: Convert to fraction form
    210,186/317,458 = 317,458/x
  3. Step 3: Cross multiply
    210,186x = 317,458 × 317,458
  4. Step 4: Simplify right side
    210,186x = 100,779,581,764
  5. Step 5: Solve for x
    x = 100,779,581,764/210,186
  6. Step 6: Final answer
    x = 479,478.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.