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Finding the Third Proportional to 163,387.69 and 270,010.69

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Solution

The third proportional to 163,387.69 and 270,010.69 is: 446,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,387.69 : 270,010.69 = 270,010.69 : x
  2. Step 2: Convert to fraction form
    163,387.69/270,010.69 = 270,010.69/x
  3. Step 3: Cross multiply
    163,387.69x = 270,010.69 × 270,010.69
  4. Step 4: Simplify right side
    163,387.69x = 72,905,771,364.22
  5. Step 5: Solve for x
    x = 72,905,771,364.22/163,387.69
  6. Step 6: Final answer
    x = 446,213.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.