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Finding the Third Proportional to 228,141 and 330,448.50

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Solution

The third proportional to 228,141 and 330,448.50 is: 478,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,141 : 330,448.50 = 330,448.50 : x
  2. Step 2: Convert to fraction form
    228,141/330,448.50 = 330,448.50/x
  3. Step 3: Cross multiply
    228,141x = 330,448.50 × 330,448.50
  4. Step 4: Simplify right side
    228,141x = 109,196,211,152.25
  5. Step 5: Solve for x
    x = 109,196,211,152.25/228,141
  6. Step 6: Final answer
    x = 478,634.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.