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Finding the Third Proportional to 180,257 and 417,284

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Solution

The third proportional to 180,257 and 417,284 is: 965,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,257 : 417,284 = 417,284 : x
  2. Step 2: Convert to fraction form
    180,257/417,284 = 417,284/x
  3. Step 3: Cross multiply
    180,257x = 417,284 × 417,284
  4. Step 4: Simplify right side
    180,257x = 174,125,936,656
  5. Step 5: Solve for x
    x = 174,125,936,656/180,257
  6. Step 6: Final answer
    x = 965,987.10

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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.