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Finding the Third Proportional to 186,284 and 295,102

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Solution

The third proportional to 186,284 and 295,102 is: 467,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,284 : 295,102 = 295,102 : x
  2. Step 2: Convert to fraction form
    186,284/295,102 = 295,102/x
  3. Step 3: Cross multiply
    186,284x = 295,102 × 295,102
  4. Step 4: Simplify right side
    186,284x = 87,085,190,404
  5. Step 5: Solve for x
    x = 87,085,190,404/186,284
  6. Step 6: Final answer
    x = 467,486.15

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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.