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Finding the Third Proportional to 228,961 and 336,585.50

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Solution

The third proportional to 228,961 and 336,585.50 is: 494,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,961 : 336,585.50 = 336,585.50 : x
  2. Step 2: Convert to fraction form
    228,961/336,585.50 = 336,585.50/x
  3. Step 3: Cross multiply
    228,961x = 336,585.50 × 336,585.50
  4. Step 4: Simplify right side
    228,961x = 113,289,798,810.25
  5. Step 5: Solve for x
    x = 113,289,798,810.25/228,961
  6. Step 6: Final answer
    x = 494,799.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.