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Finding the Third Proportional to 180,253.13 and 417,274.31

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Solution

The third proportional to 180,253.13 and 417,274.31 is: 965,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,253.13 : 417,274.31 = 417,274.31 : x
  2. Step 2: Convert to fraction form
    180,253.13/417,274.31 = 417,274.31/x
  3. Step 3: Cross multiply
    180,253.13x = 417,274.31 × 417,274.31
  4. Step 4: Simplify right side
    180,253.13x = 174,117,851,872.35
  5. Step 5: Solve for x
    x = 174,117,851,872.35/180,253.13
  6. Step 6: Final answer
    x = 965,963.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.