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Finding the Third Proportional to 201,060 and 306,308

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Solution

The third proportional to 201,060 and 306,308 is: 466,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,060 : 306,308 = 306,308 : x
  2. Step 2: Convert to fraction form
    201,060/306,308 = 306,308/x
  3. Step 3: Cross multiply
    201,060x = 306,308 × 306,308
  4. Step 4: Simplify right side
    201,060x = 93,824,590,864
  5. Step 5: Solve for x
    x = 93,824,590,864/201,060
  6. Step 6: Final answer
    x = 466,649.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.