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Finding the Third Proportional to 165,562.31 and 357,582.94

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Solution

The third proportional to 165,562.31 and 357,582.94 is: 772,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,562.31 : 357,582.94 = 357,582.94 : x
  2. Step 2: Convert to fraction form
    165,562.31/357,582.94 = 357,582.94/x
  3. Step 3: Cross multiply
    165,562.31x = 357,582.94 × 357,582.94
  4. Step 4: Simplify right side
    165,562.31x = 127,865,557,191.13
  5. Step 5: Solve for x
    x = 127,865,557,191.13/165,562.31
  6. Step 6: Final answer
    x = 772,310.77

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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.