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Finding the Third Proportional to 186,432 and 295,344

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Solution

The third proportional to 186,432 and 295,344 is: 467,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,432 : 295,344 = 295,344 : x
  2. Step 2: Convert to fraction form
    186,432/295,344 = 295,344/x
  3. Step 3: Cross multiply
    186,432x = 295,344 × 295,344
  4. Step 4: Simplify right side
    186,432x = 87,228,078,336
  5. Step 5: Solve for x
    x = 87,228,078,336/186,432
  6. Step 6: Final answer
    x = 467,881.47

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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.