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Finding the Third Proportional to 165,809.25 and 355,276.13

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Solution

The third proportional to 165,809.25 and 355,276.13 is: 761,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,809.25 : 355,276.13 = 355,276.13 : x
  2. Step 2: Convert to fraction form
    165,809.25/355,276.13 = 355,276.13/x
  3. Step 3: Cross multiply
    165,809.25x = 355,276.13 × 355,276.13
  4. Step 4: Simplify right side
    165,809.25x = 126,221,124,995.02
  5. Step 5: Solve for x
    x = 126,221,124,995.02/165,809.25
  6. Step 6: Final answer
    x = 761,242.96

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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.