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Finding the Third Proportional to 186,336 and 295,200

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Solution

The third proportional to 186,336 and 295,200 is: 467,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,336 : 295,200 = 295,200 : x
  2. Step 2: Convert to fraction form
    186,336/295,200 = 295,200/x
  3. Step 3: Cross multiply
    186,336x = 295,200 × 295,200
  4. Step 4: Simplify right side
    186,336x = 87,143,040,000
  5. Step 5: Solve for x
    x = 87,143,040,000/186,336
  6. Step 6: Final answer
    x = 467,666.15

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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.