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Finding the Third Proportional to 117,910 and 254,492.50

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Solution

The third proportional to 117,910 and 254,492.50 is: 549,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,910 : 254,492.50 = 254,492.50 : x
  2. Step 2: Convert to fraction form
    117,910/254,492.50 = 254,492.50/x
  3. Step 3: Cross multiply
    117,910x = 254,492.50 × 254,492.50
  4. Step 4: Simplify right side
    117,910x = 64,766,432,556.25
  5. Step 5: Solve for x
    x = 64,766,432,556.25/117,910
  6. Step 6: Final answer
    x = 549,287.02

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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.