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Finding the Third Proportional to 165,255.19 and 357,984.56

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Solution

The third proportional to 165,255.19 and 357,984.56 is: 775,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,255.19 : 357,984.56 = 357,984.56 : x
  2. Step 2: Convert to fraction form
    165,255.19/357,984.56 = 357,984.56/x
  3. Step 3: Cross multiply
    165,255.19x = 357,984.56 × 357,984.56
  4. Step 4: Simplify right side
    165,255.19x = 128,152,946,988.32
  5. Step 5: Solve for x
    x = 128,152,946,988.32/165,255.19
  6. Step 6: Final answer
    x = 775,485.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.