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Finding the Third Proportional to 245,210 and 329,524

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Solution

The third proportional to 245,210 and 329,524 is: 442,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,210 : 329,524 = 329,524 : x
  2. Step 2: Convert to fraction form
    245,210/329,524 = 329,524/x
  3. Step 3: Cross multiply
    245,210x = 329,524 × 329,524
  4. Step 4: Simplify right side
    245,210x = 108,586,066,576
  5. Step 5: Solve for x
    x = 108,586,066,576/245,210
  6. Step 6: Final answer
    x = 442,828.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.