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Finding the Third Proportional to 201,172 and 302,262

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Solution

The third proportional to 201,172 and 302,262 is: 454,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172 : 302,262 = 302,262 : x
  2. Step 2: Convert to fraction form
    201,172/302,262 = 302,262/x
  3. Step 3: Cross multiply
    201,172x = 302,262 × 302,262
  4. Step 4: Simplify right side
    201,172x = 91,362,316,644
  5. Step 5: Solve for x
    x = 91,362,316,644/201,172
  6. Step 6: Final answer
    x = 454,150.26

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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.