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Finding the Third Proportional to 200,767 and 294,448

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Solution

The third proportional to 200,767 and 294,448 is: 431,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767 : 294,448 = 294,448 : x
  2. Step 2: Convert to fraction form
    200,767/294,448 = 294,448/x
  3. Step 3: Cross multiply
    200,767x = 294,448 × 294,448
  4. Step 4: Simplify right side
    200,767x = 86,699,624,704
  5. Step 5: Solve for x
    x = 86,699,624,704/200,767
  6. Step 6: Final answer
    x = 431,842.01

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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.