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Finding the Third Proportional to 243,859.50 and 326,178

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Solution

The third proportional to 243,859.50 and 326,178 is: 436,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,859.50 : 326,178 = 326,178 : x
  2. Step 2: Convert to fraction form
    243,859.50/326,178 = 326,178/x
  3. Step 3: Cross multiply
    243,859.50x = 326,178 × 326,178
  4. Step 4: Simplify right side
    243,859.50x = 106,392,087,684
  5. Step 5: Solve for x
    x = 106,392,087,684/243,859.50
  6. Step 6: Final answer
    x = 436,284.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.