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Finding the Third Proportional to 185,336 and 306,760

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Solution

The third proportional to 185,336 and 306,760 is: 507,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,336 : 306,760 = 306,760 : x
  2. Step 2: Convert to fraction form
    185,336/306,760 = 306,760/x
  3. Step 3: Cross multiply
    185,336x = 306,760 × 306,760
  4. Step 4: Simplify right side
    185,336x = 94,101,697,600
  5. Step 5: Solve for x
    x = 94,101,697,600/185,336
  6. Step 6: Final answer
    x = 507,735.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.