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Finding the Third Proportional to 268,240 and 375,913

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Solution

The third proportional to 268,240 and 375,913 is: 526,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,240 : 375,913 = 375,913 : x
  2. Step 2: Convert to fraction form
    268,240/375,913 = 375,913/x
  3. Step 3: Cross multiply
    268,240x = 375,913 × 375,913
  4. Step 4: Simplify right side
    268,240x = 141,310,583,569
  5. Step 5: Solve for x
    x = 141,310,583,569/268,240
  6. Step 6: Final answer
    x = 526,806.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.