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Finding the Third Proportional to 201,119 and 296,985

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Solution

The third proportional to 201,119 and 296,985 is: 438,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,119 : 296,985 = 296,985 : x
  2. Step 2: Convert to fraction form
    201,119/296,985 = 296,985/x
  3. Step 3: Cross multiply
    201,119x = 296,985 × 296,985
  4. Step 4: Simplify right side
    201,119x = 88,200,090,225
  5. Step 5: Solve for x
    x = 88,200,090,225/201,119
  6. Step 6: Final answer
    x = 438,546.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.