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Finding the Third Proportional to 165,714.61 and 355,953.23

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Solution

The third proportional to 165,714.61 and 355,953.23 is: 764,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,714.61 : 355,953.23 = 355,953.23 : x
  2. Step 2: Convert to fraction form
    165,714.61/355,953.23 = 355,953.23/x
  3. Step 3: Cross multiply
    165,714.61x = 355,953.23 × 355,953.23
  4. Step 4: Simplify right side
    165,714.61x = 126,702,705,062.02
  5. Step 5: Solve for x
    x = 126,702,705,062.02/165,714.61
  6. Step 6: Final answer
    x = 764,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.