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Finding the Third Proportional to 142,930 and 304,355

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Solution

The third proportional to 142,930 and 304,355 is: 648,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930 : 304,355 = 304,355 : x
  2. Step 2: Convert to fraction form
    142,930/304,355 = 304,355/x
  3. Step 3: Cross multiply
    142,930x = 304,355 × 304,355
  4. Step 4: Simplify right side
    142,930x = 92,631,966,025
  5. Step 5: Solve for x
    x = 92,631,966,025/142,930
  6. Step 6: Final answer
    x = 648,093.23

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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.