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Finding the Third Proportional to 116,832 and 253,347

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Solution

The third proportional to 116,832 and 253,347 is: 549,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,832 : 253,347 = 253,347 : x
  2. Step 2: Convert to fraction form
    116,832/253,347 = 253,347/x
  3. Step 3: Cross multiply
    116,832x = 253,347 × 253,347
  4. Step 4: Simplify right side
    116,832x = 64,184,702,409
  5. Step 5: Solve for x
    x = 64,184,702,409/116,832
  6. Step 6: Final answer
    x = 549,376.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.