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Finding the Third Proportional to 201,349 and 302,007

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Solution

The third proportional to 201,349 and 302,007 is: 452,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,349 : 302,007 = 302,007 : x
  2. Step 2: Convert to fraction form
    201,349/302,007 = 302,007/x
  3. Step 3: Cross multiply
    201,349x = 302,007 × 302,007
  4. Step 4: Simplify right side
    201,349x = 91,208,228,049
  5. Step 5: Solve for x
    x = 91,208,228,049/201,349
  6. Step 6: Final answer
    x = 452,985.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.