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Finding the Third Proportional to 201,429 and 291,300.75

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Solution

The third proportional to 201,429 and 291,300.75 is: 421,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429 : 291,300.75 = 291,300.75 : x
  2. Step 2: Convert to fraction form
    201,429/291,300.75 = 291,300.75/x
  3. Step 3: Cross multiply
    201,429x = 291,300.75 × 291,300.75
  4. Step 4: Simplify right side
    201,429x = 84,856,126,950.56
  5. Step 5: Solve for x
    x = 84,856,126,950.56/201,429
  6. Step 6: Final answer
    x = 421,270.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.