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Finding the Third Proportional to 186,993 and 409,038.75

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Solution

The third proportional to 186,993 and 409,038.75 is: 894,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,993 : 409,038.75 = 409,038.75 : x
  2. Step 2: Convert to fraction form
    186,993/409,038.75 = 409,038.75/x
  3. Step 3: Cross multiply
    186,993x = 409,038.75 × 409,038.75
  4. Step 4: Simplify right side
    186,993x = 167,312,699,001.56
  5. Step 5: Solve for x
    x = 167,312,699,001.56/186,993
  6. Step 6: Final answer
    x = 894,753.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.