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Finding the Third Proportional to 201,472 and 302,688

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Solution

The third proportional to 201,472 and 302,688 is: 454,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,472 : 302,688 = 302,688 : x
  2. Step 2: Convert to fraction form
    201,472/302,688 = 302,688/x
  3. Step 3: Cross multiply
    201,472x = 302,688 × 302,688
  4. Step 4: Simplify right side
    201,472x = 91,620,025,344
  5. Step 5: Solve for x
    x = 91,620,025,344/201,472
  6. Step 6: Final answer
    x = 454,753.14

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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.