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Finding the Third Proportional to 133,025 and 291,919

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Solution

The third proportional to 133,025 and 291,919 is: 640,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 291,919 = 291,919 : x
  2. Step 2: Convert to fraction form
    133,025/291,919 = 291,919/x
  3. Step 3: Cross multiply
    133,025x = 291,919 × 291,919
  4. Step 4: Simplify right side
    133,025x = 85,216,702,561
  5. Step 5: Solve for x
    x = 85,216,702,561/133,025
  6. Step 6: Final answer
    x = 640,606.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.