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Finding the Third Proportional to 186,718 and 403,082

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Solution

The third proportional to 186,718 and 403,082 is: 870,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,718 : 403,082 = 403,082 : x
  2. Step 2: Convert to fraction form
    186,718/403,082 = 403,082/x
  3. Step 3: Cross multiply
    186,718x = 403,082 × 403,082
  4. Step 4: Simplify right side
    186,718x = 162,475,098,724
  5. Step 5: Solve for x
    x = 162,475,098,724/186,718
  6. Step 6: Final answer
    x = 870,163.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.