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Finding the Third Proportional to 142,996 and 304,993

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Solution

The third proportional to 142,996 and 304,993 is: 650,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,996 : 304,993 = 304,993 : x
  2. Step 2: Convert to fraction form
    142,996/304,993 = 304,993/x
  3. Step 3: Cross multiply
    142,996x = 304,993 × 304,993
  4. Step 4: Simplify right side
    142,996x = 93,020,730,049
  5. Step 5: Solve for x
    x = 93,020,730,049/142,996
  6. Step 6: Final answer
    x = 650,512.81

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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.