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Finding the Third Proportional to 199,455.75 and 432,141.75

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Solution

The third proportional to 199,455.75 and 432,141.75 is: 936,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,455.75 : 432,141.75 = 432,141.75 : x
  2. Step 2: Convert to fraction form
    199,455.75/432,141.75 = 432,141.75/x
  3. Step 3: Cross multiply
    199,455.75x = 432,141.75 × 432,141.75
  4. Step 4: Simplify right side
    199,455.75x = 186,746,492,093.06
  5. Step 5: Solve for x
    x = 186,746,492,093.06/199,455.75
  6. Step 6: Final answer
    x = 936,280.31

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