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Finding the Third Proportional to 117,866 and 254,560

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Solution

The third proportional to 117,866 and 254,560 is: 549,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,866 : 254,560 = 254,560 : x
  2. Step 2: Convert to fraction form
    117,866/254,560 = 254,560/x
  3. Step 3: Cross multiply
    117,866x = 254,560 × 254,560
  4. Step 4: Simplify right side
    117,866x = 64,800,793,600
  5. Step 5: Solve for x
    x = 64,800,793,600/117,866
  6. Step 6: Final answer
    x = 549,783.60

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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.