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Finding the Third Proportional to 202,386 and 444,135

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Solution

The third proportional to 202,386 and 444,135 is: 974,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,386 : 444,135 = 444,135 : x
  2. Step 2: Convert to fraction form
    202,386/444,135 = 444,135/x
  3. Step 3: Cross multiply
    202,386x = 444,135 × 444,135
  4. Step 4: Simplify right side
    202,386x = 197,255,898,225
  5. Step 5: Solve for x
    x = 197,255,898,225/202,386
  6. Step 6: Final answer
    x = 974,651.89

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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.