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Finding the Third Proportional to 268,288 and 376,000.50

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Solution

The third proportional to 268,288 and 376,000.50 is: 526,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,288 : 376,000.50 = 376,000.50 : x
  2. Step 2: Convert to fraction form
    268,288/376,000.50 = 376,000.50/x
  3. Step 3: Cross multiply
    268,288x = 376,000.50 × 376,000.50
  4. Step 4: Simplify right side
    268,288x = 141,376,376,000.25
  5. Step 5: Solve for x
    x = 141,376,376,000.25/268,288
  6. Step 6: Final answer
    x = 526,957.51

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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.