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Finding the Third Proportional to 165,764 and 254,370.50

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Solution

The third proportional to 165,764 and 254,370.50 is: 390,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764 : 254,370.50 = 254,370.50 : x
  2. Step 2: Convert to fraction form
    165,764/254,370.50 = 254,370.50/x
  3. Step 3: Cross multiply
    165,764x = 254,370.50 × 254,370.50
  4. Step 4: Simplify right side
    165,764x = 64,704,351,270.25
  5. Step 5: Solve for x
    x = 64,704,351,270.25/165,764
  6. Step 6: Final answer
    x = 390,340.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.