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Finding the Third Proportional to 202,284 and 305,964

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Solution

The third proportional to 202,284 and 305,964 is: 462,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284 : 305,964 = 305,964 : x
  2. Step 2: Convert to fraction form
    202,284/305,964 = 305,964/x
  3. Step 3: Cross multiply
    202,284x = 305,964 × 305,964
  4. Step 4: Simplify right side
    202,284x = 93,613,969,296
  5. Step 5: Solve for x
    x = 93,613,969,296/202,284
  6. Step 6: Final answer
    x = 462,784.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.