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Finding the Third Proportional to 117,835 and 254,348

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Solution

The third proportional to 117,835 and 254,348 is: 549,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,835 : 254,348 = 254,348 : x
  2. Step 2: Convert to fraction form
    117,835/254,348 = 254,348/x
  3. Step 3: Cross multiply
    117,835x = 254,348 × 254,348
  4. Step 4: Simplify right side
    117,835x = 64,692,905,104
  5. Step 5: Solve for x
    x = 64,692,905,104/117,835
  6. Step 6: Final answer
    x = 549,012.65

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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.