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Finding the Third Proportional to 186,202 and 404,804

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Solution

The third proportional to 186,202 and 404,804 is: 880,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,202 : 404,804 = 404,804 : x
  2. Step 2: Convert to fraction form
    186,202/404,804 = 404,804/x
  3. Step 3: Cross multiply
    186,202x = 404,804 × 404,804
  4. Step 4: Simplify right side
    186,202x = 163,866,278,416
  5. Step 5: Solve for x
    x = 163,866,278,416/186,202
  6. Step 6: Final answer
    x = 880,045.75

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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.