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Finding the Third Proportional to 200,802 and 294,495

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Solution

The third proportional to 200,802 and 294,495 is: 431,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802 : 294,495 = 294,495 : x
  2. Step 2: Convert to fraction form
    200,802/294,495 = 294,495/x
  3. Step 3: Cross multiply
    200,802x = 294,495 × 294,495
  4. Step 4: Simplify right side
    200,802x = 86,727,305,025
  5. Step 5: Solve for x
    x = 86,727,305,025/200,802
  6. Step 6: Final answer
    x = 431,904.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.