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Finding the Third Proportional to 117,846 and 254,518

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Solution

The third proportional to 117,846 and 254,518 is: 549,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,846 : 254,518 = 254,518 : x
  2. Step 2: Convert to fraction form
    117,846/254,518 = 254,518/x
  3. Step 3: Cross multiply
    117,846x = 254,518 × 254,518
  4. Step 4: Simplify right side
    117,846x = 64,779,412,324
  5. Step 5: Solve for x
    x = 64,779,412,324/117,846
  6. Step 6: Final answer
    x = 549,695.47

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Why These Related Problems?

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