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Finding the Third Proportional to 186,458 and 295,395

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Solution

The third proportional to 186,458 and 295,395 is: 467,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,458 : 295,395 = 295,395 : x
  2. Step 2: Convert to fraction form
    186,458/295,395 = 295,395/x
  3. Step 3: Cross multiply
    186,458x = 295,395 × 295,395
  4. Step 4: Simplify right side
    186,458x = 87,258,206,025
  5. Step 5: Solve for x
    x = 87,258,206,025/186,458
  6. Step 6: Final answer
    x = 467,977.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.