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Finding the Third Proportional to 200,503 and 291,732

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Solution

The third proportional to 200,503 and 291,732 is: 424,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503 : 291,732 = 291,732 : x
  2. Step 2: Convert to fraction form
    200,503/291,732 = 291,732/x
  3. Step 3: Cross multiply
    200,503x = 291,732 × 291,732
  4. Step 4: Simplify right side
    200,503x = 85,107,559,824
  5. Step 5: Solve for x
    x = 85,107,559,824/200,503
  6. Step 6: Final answer
    x = 424,470.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.