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Finding the Third Proportional to 186,443 and 295,362

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Solution

The third proportional to 186,443 and 295,362 is: 467,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,443 : 295,362 = 295,362 : x
  2. Step 2: Convert to fraction form
    186,443/295,362 = 295,362/x
  3. Step 3: Cross multiply
    186,443x = 295,362 × 295,362
  4. Step 4: Simplify right side
    186,443x = 87,238,711,044
  5. Step 5: Solve for x
    x = 87,238,711,044/186,443
  6. Step 6: Final answer
    x = 467,910.90

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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.