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Finding the Third Proportional to 165,553.88 and 357,568.88

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Solution

The third proportional to 165,553.88 and 357,568.88 is: 772,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,553.88 : 357,568.88 = 357,568.88 : x
  2. Step 2: Convert to fraction form
    165,553.88/357,568.88 = 357,568.88/x
  3. Step 3: Cross multiply
    165,553.88x = 357,568.88 × 357,568.88
  4. Step 4: Simplify right side
    165,553.88x = 127,855,500,368.77
  5. Step 5: Solve for x
    x = 127,855,500,368.77/165,553.88
  6. Step 6: Final answer
    x = 772,289.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.