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Finding the Third Proportional to 133,070 and 295,672

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Solution

The third proportional to 133,070 and 295,672 is: 656,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 295,672 = 295,672 : x
  2. Step 2: Convert to fraction form
    133,070/295,672 = 295,672/x
  3. Step 3: Cross multiply
    133,070x = 295,672 × 295,672
  4. Step 4: Simplify right side
    133,070x = 87,421,931,584
  5. Step 5: Solve for x
    x = 87,421,931,584/133,070
  6. Step 6: Final answer
    x = 656,961.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.