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Finding the Third Proportional to 201,792 and 304,224

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Solution

The third proportional to 201,792 and 304,224 is: 458,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,792 : 304,224 = 304,224 : x
  2. Step 2: Convert to fraction form
    201,792/304,224 = 304,224/x
  3. Step 3: Cross multiply
    201,792x = 304,224 × 304,224
  4. Step 4: Simplify right side
    201,792x = 92,552,242,176
  5. Step 5: Solve for x
    x = 92,552,242,176/201,792
  6. Step 6: Final answer
    x = 458,651.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.