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Finding the Third Proportional to 202,053 and 294,194

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Solution

The third proportional to 202,053 and 294,194 is: 428,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053 : 294,194 = 294,194 : x
  2. Step 2: Convert to fraction form
    202,053/294,194 = 294,194/x
  3. Step 3: Cross multiply
    202,053x = 294,194 × 294,194
  4. Step 4: Simplify right side
    202,053x = 86,550,109,636
  5. Step 5: Solve for x
    x = 86,550,109,636/202,053
  6. Step 6: Final answer
    x = 428,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.