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Finding the Third Proportional to 142,048.69 and 315,627.89

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Solution

The third proportional to 142,048.69 and 315,627.89 is: 701,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048.69 : 315,627.89 = 315,627.89 : x
  2. Step 2: Convert to fraction form
    142,048.69/315,627.89 = 315,627.89/x
  3. Step 3: Cross multiply
    142,048.69x = 315,627.89 × 315,627.89
  4. Step 4: Simplify right side
    142,048.69x = 99,620,965,340.39
  5. Step 5: Solve for x
    x = 99,620,965,340.39/142,048.69
  6. Step 6: Final answer
    x = 701,315.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.