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Finding the Third Proportional to 193,274 and 300,585

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Solution

The third proportional to 193,274 and 300,585 is: 467,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,274 : 300,585 = 300,585 : x
  2. Step 2: Convert to fraction form
    193,274/300,585 = 300,585/x
  3. Step 3: Cross multiply
    193,274x = 300,585 × 300,585
  4. Step 4: Simplify right side
    193,274x = 90,351,342,225
  5. Step 5: Solve for x
    x = 90,351,342,225/193,274
  6. Step 6: Final answer
    x = 467,478.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.