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Finding the Third Proportional to 228,813 and 350,029.50

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Solution

The third proportional to 228,813 and 350,029.50 is: 535,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,813 : 350,029.50 = 350,029.50 : x
  2. Step 2: Convert to fraction form
    228,813/350,029.50 = 350,029.50/x
  3. Step 3: Cross multiply
    228,813x = 350,029.50 × 350,029.50
  4. Step 4: Simplify right side
    228,813x = 122,520,650,870.25
  5. Step 5: Solve for x
    x = 122,520,650,870.25/228,813
  6. Step 6: Final answer
    x = 535,461.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.