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Finding the Third Proportional to 165,983.77 and 355,633.45

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Solution

The third proportional to 165,983.77 and 355,633.45 is: 761,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,983.77 : 355,633.45 = 355,633.45 : x
  2. Step 2: Convert to fraction form
    165,983.77/355,633.45 = 355,633.45/x
  3. Step 3: Cross multiply
    165,983.77x = 355,633.45 × 355,633.45
  4. Step 4: Simplify right side
    165,983.77x = 126,475,152,981.61
  5. Step 5: Solve for x
    x = 126,475,152,981.61/165,983.77
  6. Step 6: Final answer
    x = 761,973.03

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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.