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Finding the Third Proportional to 117,406 and 253,954

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Solution

The third proportional to 117,406 and 253,954 is: 549,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,406 : 253,954 = 253,954 : x
  2. Step 2: Convert to fraction form
    117,406/253,954 = 253,954/x
  3. Step 3: Cross multiply
    117,406x = 253,954 × 253,954
  4. Step 4: Simplify right side
    117,406x = 64,492,634,116
  5. Step 5: Solve for x
    x = 64,492,634,116/117,406
  6. Step 6: Final answer
    x = 549,312.93

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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.