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Finding the Third Proportional to 110,955 and 180,264

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Solution

The third proportional to 110,955 and 180,264 is: 292,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,955 : 180,264 = 180,264 : x
  2. Step 2: Convert to fraction form
    110,955/180,264 = 180,264/x
  3. Step 3: Cross multiply
    110,955x = 180,264 × 180,264
  4. Step 4: Simplify right side
    110,955x = 32,495,109,696
  5. Step 5: Solve for x
    x = 32,495,109,696/110,955
  6. Step 6: Final answer
    x = 292,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.