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Finding the Third Proportional to 233,284.50 and 341,178.75

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Solution

The third proportional to 233,284.50 and 341,178.75 is: 498,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,284.50 : 341,178.75 = 341,178.75 : x
  2. Step 2: Convert to fraction form
    233,284.50/341,178.75 = 341,178.75/x
  3. Step 3: Cross multiply
    233,284.50x = 341,178.75 × 341,178.75
  4. Step 4: Simplify right side
    233,284.50x = 116,402,939,451.56
  5. Step 5: Solve for x
    x = 116,402,939,451.56/233,284.50
  6. Step 6: Final answer
    x = 498,974.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.