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Finding the Third Proportional to 201,617 and 304,046

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Solution

The third proportional to 201,617 and 304,046 is: 458,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,617 : 304,046 = 304,046 : x
  2. Step 2: Convert to fraction form
    201,617/304,046 = 304,046/x
  3. Step 3: Cross multiply
    201,617x = 304,046 × 304,046
  4. Step 4: Simplify right side
    201,617x = 92,443,970,116
  5. Step 5: Solve for x
    x = 92,443,970,116/201,617
  6. Step 6: Final answer
    x = 458,512.77

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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.