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Finding the Third Proportional to 186,456 and 295,392

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Solution

The third proportional to 186,456 and 295,392 is: 467,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,456 : 295,392 = 295,392 : x
  2. Step 2: Convert to fraction form
    186,456/295,392 = 295,392/x
  3. Step 3: Cross multiply
    186,456x = 295,392 × 295,392
  4. Step 4: Simplify right side
    186,456x = 87,256,433,664
  5. Step 5: Solve for x
    x = 87,256,433,664/186,456
  6. Step 6: Final answer
    x = 467,973.32

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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.