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Finding the Third Proportional to 165,803.20 and 355,263.47

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Solution

The third proportional to 165,803.20 and 355,263.47 is: 761,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,803.20 : 355,263.47 = 355,263.47 : x
  2. Step 2: Convert to fraction form
    165,803.20/355,263.47 = 355,263.47/x
  3. Step 3: Cross multiply
    165,803.20x = 355,263.47 × 355,263.47
  4. Step 4: Simplify right side
    165,803.20x = 126,212,132,228.28
  5. Step 5: Solve for x
    x = 126,212,132,228.28/165,803.20
  6. Step 6: Final answer
    x = 761,216.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.