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Finding the Third Proportional to 193,312 and 300,640

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Solution

The third proportional to 193,312 and 300,640 is: 467,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,312 : 300,640 = 300,640 : x
  2. Step 2: Convert to fraction form
    193,312/300,640 = 300,640/x
  3. Step 3: Cross multiply
    193,312x = 300,640 × 300,640
  4. Step 4: Simplify right side
    193,312x = 90,384,409,600
  5. Step 5: Solve for x
    x = 90,384,409,600/193,312
  6. Step 6: Final answer
    x = 467,557.16

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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.