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Finding the Third Proportional to 201,913 and 294,106

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Solution

The third proportional to 201,913 and 294,106 is: 428,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913 : 294,106 = 294,106 : x
  2. Step 2: Convert to fraction form
    201,913/294,106 = 294,106/x
  3. Step 3: Cross multiply
    201,913x = 294,106 × 294,106
  4. Step 4: Simplify right side
    201,913x = 86,498,339,236
  5. Step 5: Solve for x
    x = 86,498,339,236/201,913
  6. Step 6: Final answer
    x = 428,394.11

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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.