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Finding the Third Proportional to 201,270 and 296,073

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Solution

The third proportional to 201,270 and 296,073 is: 435,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270 : 296,073 = 296,073 : x
  2. Step 2: Convert to fraction form
    201,270/296,073 = 296,073/x
  3. Step 3: Cross multiply
    201,270x = 296,073 × 296,073
  4. Step 4: Simplify right side
    201,270x = 87,659,221,329
  5. Step 5: Solve for x
    x = 87,659,221,329/201,270
  6. Step 6: Final answer
    x = 435,530.49

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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.