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Finding the Third Proportional to 186,082 and 403,364

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Solution

The third proportional to 186,082 and 403,364 is: 874,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,082 : 403,364 = 403,364 : x
  2. Step 2: Convert to fraction form
    186,082/403,364 = 403,364/x
  3. Step 3: Cross multiply
    186,082x = 403,364 × 403,364
  4. Step 4: Simplify right side
    186,082x = 162,702,516,496
  5. Step 5: Solve for x
    x = 162,702,516,496/186,082
  6. Step 6: Final answer
    x = 874,359.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.