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Finding the Third Proportional to 233,991 and 342,211.50

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Solution

The third proportional to 233,991 and 342,211.50 is: 500,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,991 : 342,211.50 = 342,211.50 : x
  2. Step 2: Convert to fraction form
    233,991/342,211.50 = 342,211.50/x
  3. Step 3: Cross multiply
    233,991x = 342,211.50 × 342,211.50
  4. Step 4: Simplify right side
    233,991x = 117,108,710,732.25
  5. Step 5: Solve for x
    x = 117,108,710,732.25/233,991
  6. Step 6: Final answer
    x = 500,483.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.