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Finding the Third Proportional to 186,873 and 293,702

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Solution

The third proportional to 186,873 and 293,702 is: 461,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,873 : 293,702 = 293,702 : x
  2. Step 2: Convert to fraction form
    186,873/293,702 = 293,702/x
  3. Step 3: Cross multiply
    186,873x = 293,702 × 293,702
  4. Step 4: Simplify right side
    186,873x = 86,260,864,804
  5. Step 5: Solve for x
    x = 86,260,864,804/186,873
  6. Step 6: Final answer
    x = 461,601.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.