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Finding the Third Proportional to 201,003 and 307,902

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Solution

The third proportional to 201,003 and 307,902 is: 471,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,003 : 307,902 = 307,902 : x
  2. Step 2: Convert to fraction form
    201,003/307,902 = 307,902/x
  3. Step 3: Cross multiply
    201,003x = 307,902 × 307,902
  4. Step 4: Simplify right side
    201,003x = 94,803,641,604
  5. Step 5: Solve for x
    x = 94,803,641,604/201,003
  6. Step 6: Final answer
    x = 471,652.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.