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Finding the Third Proportional to 193,232 and 306,642

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Solution

The third proportional to 193,232 and 306,642 is: 486,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232 : 306,642 = 306,642 : x
  2. Step 2: Convert to fraction form
    193,232/306,642 = 306,642/x
  3. Step 3: Cross multiply
    193,232x = 306,642 × 306,642
  4. Step 4: Simplify right side
    193,232x = 94,029,316,164
  5. Step 5: Solve for x
    x = 94,029,316,164/193,232
  6. Step 6: Final answer
    x = 486,613.58

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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.