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Finding the Third Proportional to 141,440.63 and 305,024.63

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Solution

The third proportional to 141,440.63 and 305,024.63 is: 657,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,440.63 : 305,024.63 = 305,024.63 : x
  2. Step 2: Convert to fraction form
    141,440.63/305,024.63 = 305,024.63/x
  3. Step 3: Cross multiply
    141,440.63x = 305,024.63 × 305,024.63
  4. Step 4: Simplify right side
    141,440.63x = 93,040,021,856.39
  5. Step 5: Solve for x
    x = 93,040,021,856.39/141,440.63
  6. Step 6: Final answer
    x = 657,802.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.