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Finding the Third Proportional to 201,301 and 296,110

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Solution

The third proportional to 201,301 and 296,110 is: 435,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301 : 296,110 = 296,110 : x
  2. Step 2: Convert to fraction form
    201,301/296,110 = 296,110/x
  3. Step 3: Cross multiply
    201,301x = 296,110 × 296,110
  4. Step 4: Simplify right side
    201,301x = 87,681,132,100
  5. Step 5: Solve for x
    x = 87,681,132,100/201,301
  6. Step 6: Final answer
    x = 435,572.26

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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.