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Finding the Third Proportional to 201,452 and 302,179

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Solution

The third proportional to 201,452 and 302,179 is: 453,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,452 : 302,179 = 302,179 : x
  2. Step 2: Convert to fraction form
    201,452/302,179 = 302,179/x
  3. Step 3: Cross multiply
    201,452x = 302,179 × 302,179
  4. Step 4: Simplify right side
    201,452x = 91,312,148,041
  5. Step 5: Solve for x
    x = 91,312,148,041/201,452
  6. Step 6: Final answer
    x = 453,270.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.