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Finding the Third Proportional to 202,308 and 442,713

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Solution

The third proportional to 202,308 and 442,713 is: 968,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,308 : 442,713 = 442,713 : x
  2. Step 2: Convert to fraction form
    202,308/442,713 = 442,713/x
  3. Step 3: Cross multiply
    202,308x = 442,713 × 442,713
  4. Step 4: Simplify right side
    202,308x = 195,994,800,369
  5. Step 5: Solve for x
    x = 195,994,800,369/202,308
  6. Step 6: Final answer
    x = 968,794.12

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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.