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Finding the Third Proportional to 251,920.50 and 390,051

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Solution

The third proportional to 251,920.50 and 390,051 is: 603,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,920.50 : 390,051 = 390,051 : x
  2. Step 2: Convert to fraction form
    251,920.50/390,051 = 390,051/x
  3. Step 3: Cross multiply
    251,920.50x = 390,051 × 390,051
  4. Step 4: Simplify right side
    251,920.50x = 152,139,782,601
  5. Step 5: Solve for x
    x = 152,139,782,601/251,920.50
  6. Step 6: Final answer
    x = 603,919.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.