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Finding the Third Proportional to 200,763 and 294,441

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Solution

The third proportional to 200,763 and 294,441 is: 431,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,763 : 294,441 = 294,441 : x
  2. Step 2: Convert to fraction form
    200,763/294,441 = 294,441/x
  3. Step 3: Cross multiply
    200,763x = 294,441 × 294,441
  4. Step 4: Simplify right side
    200,763x = 86,695,502,481
  5. Step 5: Solve for x
    x = 86,695,502,481/200,763
  6. Step 6: Final answer
    x = 431,830.08

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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.