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Finding the Third Proportional to 175,424.63 and 273,403.69

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Solution

The third proportional to 175,424.63 and 273,403.69 is: 426,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,424.63 : 273,403.69 = 273,403.69 : x
  2. Step 2: Convert to fraction form
    175,424.63/273,403.69 = 273,403.69/x
  3. Step 3: Cross multiply
    175,424.63x = 273,403.69 × 273,403.69
  4. Step 4: Simplify right side
    175,424.63x = 74,749,576,338.60
  5. Step 5: Solve for x
    x = 74,749,576,338.60/175,424.63
  6. Step 6: Final answer
    x = 426,106.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.