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Finding the Third Proportional to 186,918 and 411,202

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Solution

The third proportional to 186,918 and 411,202 is: 904,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,918 : 411,202 = 411,202 : x
  2. Step 2: Convert to fraction form
    186,918/411,202 = 411,202/x
  3. Step 3: Cross multiply
    186,918x = 411,202 × 411,202
  4. Step 4: Simplify right side
    186,918x = 169,087,084,804
  5. Step 5: Solve for x
    x = 169,087,084,804/186,918
  6. Step 6: Final answer
    x = 904,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.