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Finding the Third Proportional to 142,326 and 306,645

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Solution

The third proportional to 142,326 and 306,645 is: 660,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,326 : 306,645 = 306,645 : x
  2. Step 2: Convert to fraction form
    142,326/306,645 = 306,645/x
  3. Step 3: Cross multiply
    142,326x = 306,645 × 306,645
  4. Step 4: Simplify right side
    142,326x = 94,031,156,025
  5. Step 5: Solve for x
    x = 94,031,156,025/142,326
  6. Step 6: Final answer
    x = 660,674.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.