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Finding the Third Proportional to 153,955.69 and 236,173.22

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Solution

The third proportional to 153,955.69 and 236,173.22 is: 362,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,955.69 : 236,173.22 = 236,173.22 : x
  2. Step 2: Convert to fraction form
    153,955.69/236,173.22 = 236,173.22/x
  3. Step 3: Cross multiply
    153,955.69x = 236,173.22 × 236,173.22
  4. Step 4: Simplify right side
    153,955.69x = 55,777,789,254.74
  5. Step 5: Solve for x
    x = 55,777,789,254.74/153,955.69
  6. Step 6: Final answer
    x = 362,297.69

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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.