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Finding the Third Proportional to 142,916 and 304,833

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Solution

The third proportional to 142,916 and 304,833 is: 650,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,916 : 304,833 = 304,833 : x
  2. Step 2: Convert to fraction form
    142,916/304,833 = 304,833/x
  3. Step 3: Cross multiply
    142,916x = 304,833 × 304,833
  4. Step 4: Simplify right side
    142,916x = 92,923,157,889
  5. Step 5: Solve for x
    x = 92,923,157,889/142,916
  6. Step 6: Final answer
    x = 650,194.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.