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Finding the Third Proportional to 117,982 and 254,732

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Solution

The third proportional to 117,982 and 254,732 is: 549,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,982 : 254,732 = 254,732 : x
  2. Step 2: Convert to fraction form
    117,982/254,732 = 254,732/x
  3. Step 3: Cross multiply
    117,982x = 254,732 × 254,732
  4. Step 4: Simplify right side
    117,982x = 64,888,391,824
  5. Step 5: Solve for x
    x = 64,888,391,824/117,982
  6. Step 6: Final answer
    x = 549,985.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.