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Finding the Third Proportional to 201,207 and 301,835

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Solution

The third proportional to 201,207 and 301,835 is: 452,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,207 : 301,835 = 301,835 : x
  2. Step 2: Convert to fraction form
    201,207/301,835 = 301,835/x
  3. Step 3: Cross multiply
    201,207x = 301,835 × 301,835
  4. Step 4: Simplify right side
    201,207x = 91,104,367,225
  5. Step 5: Solve for x
    x = 91,104,367,225/201,207
  6. Step 6: Final answer
    x = 452,789.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.