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Finding the Third Proportional to 142,203 and 304,090

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Solution

The third proportional to 142,203 and 304,090 is: 650,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203 : 304,090 = 304,090 : x
  2. Step 2: Convert to fraction form
    142,203/304,090 = 304,090/x
  3. Step 3: Cross multiply
    142,203x = 304,090 × 304,090
  4. Step 4: Simplify right side
    142,203x = 92,470,728,100
  5. Step 5: Solve for x
    x = 92,470,728,100/142,203
  6. Step 6: Final answer
    x = 650,272.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.