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Finding the Third Proportional to 186,220 and 401,968

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Solution

The third proportional to 186,220 and 401,968 is: 867,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,220 : 401,968 = 401,968 : x
  2. Step 2: Convert to fraction form
    186,220/401,968 = 401,968/x
  3. Step 3: Cross multiply
    186,220x = 401,968 × 401,968
  4. Step 4: Simplify right side
    186,220x = 161,578,273,024
  5. Step 5: Solve for x
    x = 161,578,273,024/186,220
  6. Step 6: Final answer
    x = 867,674.11

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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.