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Finding the Third Proportional to 115,931 and 244,315

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Solution

The third proportional to 115,931 and 244,315 is: 514,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,931 : 244,315 = 244,315 : x
  2. Step 2: Convert to fraction form
    115,931/244,315 = 244,315/x
  3. Step 3: Cross multiply
    115,931x = 244,315 × 244,315
  4. Step 4: Simplify right side
    115,931x = 59,689,819,225
  5. Step 5: Solve for x
    x = 59,689,819,225/115,931
  6. Step 6: Final answer
    x = 514,873.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.