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Finding the Third Proportional to 116,700.75 and 259,827.75

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Solution

The third proportional to 116,700.75 and 259,827.75 is: 578,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,700.75 : 259,827.75 = 259,827.75 : x
  2. Step 2: Convert to fraction form
    116,700.75/259,827.75 = 259,827.75/x
  3. Step 3: Cross multiply
    116,700.75x = 259,827.75 × 259,827.75
  4. Step 4: Simplify right side
    116,700.75x = 67,510,459,670.06
  5. Step 5: Solve for x
    x = 67,510,459,670.06/116,700.75
  6. Step 6: Final answer
    x = 578,492.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.