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Finding the Third Proportional to 186,441 and 295,359

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Solution

The third proportional to 186,441 and 295,359 is: 467,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,441 : 295,359 = 295,359 : x
  2. Step 2: Convert to fraction form
    186,441/295,359 = 295,359/x
  3. Step 3: Cross multiply
    186,441x = 295,359 × 295,359
  4. Step 4: Simplify right side
    186,441x = 87,236,938,881
  5. Step 5: Solve for x
    x = 87,236,938,881/186,441
  6. Step 6: Final answer
    x = 467,906.41

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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.