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Finding the Third Proportional to 201,326 and 296,085

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Solution

The third proportional to 201,326 and 296,085 is: 435,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,326 : 296,085 = 296,085 : x
  2. Step 2: Convert to fraction form
    201,326/296,085 = 296,085/x
  3. Step 3: Cross multiply
    201,326x = 296,085 × 296,085
  4. Step 4: Simplify right side
    201,326x = 87,666,327,225
  5. Step 5: Solve for x
    x = 87,666,327,225/201,326
  6. Step 6: Final answer
    x = 435,444.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.