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Finding the Third Proportional to 202,069 and 294,217

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Solution

The third proportional to 202,069 and 294,217 is: 428,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,069 : 294,217 = 294,217 : x
  2. Step 2: Convert to fraction form
    202,069/294,217 = 294,217/x
  3. Step 3: Cross multiply
    202,069x = 294,217 × 294,217
  4. Step 4: Simplify right side
    202,069x = 86,563,643,089
  5. Step 5: Solve for x
    x = 86,563,643,089/202,069
  6. Step 6: Final answer
    x = 428,386.56

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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.