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Finding the Third Proportional to 165,445.03 and 262,907.02

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Solution

The third proportional to 165,445.03 and 262,907.02 is: 417,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,445.03 : 262,907.02 = 262,907.02 : x
  2. Step 2: Convert to fraction form
    165,445.03/262,907.02 = 262,907.02/x
  3. Step 3: Cross multiply
    165,445.03x = 262,907.02 × 262,907.02
  4. Step 4: Simplify right side
    165,445.03x = 69,120,098,864.84
  5. Step 5: Solve for x
    x = 69,120,098,864.84/165,445.03
  6. Step 6: Final answer
    x = 417,782.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.