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Finding the Third Proportional to 142,947 and 304,383

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Solution

The third proportional to 142,947 and 304,383 is: 648,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,947 : 304,383 = 304,383 : x
  2. Step 2: Convert to fraction form
    142,947/304,383 = 304,383/x
  3. Step 3: Cross multiply
    142,947x = 304,383 × 304,383
  4. Step 4: Simplify right side
    142,947x = 92,649,010,689
  5. Step 5: Solve for x
    x = 92,649,010,689/142,947
  6. Step 6: Final answer
    x = 648,135.40

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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.