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Finding the Third Proportional to 195,038 and 310,322

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Solution

The third proportional to 195,038 and 310,322 is: 493,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,038 : 310,322 = 310,322 : x
  2. Step 2: Convert to fraction form
    195,038/310,322 = 310,322/x
  3. Step 3: Cross multiply
    195,038x = 310,322 × 310,322
  4. Step 4: Simplify right side
    195,038x = 96,299,743,684
  5. Step 5: Solve for x
    x = 96,299,743,684/195,038
  6. Step 6: Final answer
    x = 493,748.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.