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Finding the Third Proportional to 138,082 and 302,008

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Solution

The third proportional to 138,082 and 302,008 is: 660,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082 : 302,008 = 302,008 : x
  2. Step 2: Convert to fraction form
    138,082/302,008 = 302,008/x
  3. Step 3: Cross multiply
    138,082x = 302,008 × 302,008
  4. Step 4: Simplify right side
    138,082x = 91,208,832,064
  5. Step 5: Solve for x
    x = 91,208,832,064/138,082
  6. Step 6: Final answer
    x = 660,541.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.