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Finding the Third Proportional to 165,467.81 and 247,533.47

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Solution

The third proportional to 165,467.81 and 247,533.47 is: 370,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,467.81 : 247,533.47 = 247,533.47 : x
  2. Step 2: Convert to fraction form
    165,467.81/247,533.47 = 247,533.47/x
  3. Step 3: Cross multiply
    165,467.81x = 247,533.47 × 247,533.47
  4. Step 4: Simplify right side
    165,467.81x = 61,272,818,151.41
  5. Step 5: Solve for x
    x = 61,272,818,151.41/165,467.81
  6. Step 6: Final answer
    x = 370,300.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.