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Finding the Third Proportional to 155,542.50 and 228,210

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Solution

The third proportional to 155,542.50 and 228,210 is: 334,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,542.50 : 228,210 = 228,210 : x
  2. Step 2: Convert to fraction form
    155,542.50/228,210 = 228,210/x
  3. Step 3: Cross multiply
    155,542.50x = 228,210 × 228,210
  4. Step 4: Simplify right side
    155,542.50x = 52,079,804,100
  5. Step 5: Solve for x
    x = 52,079,804,100/155,542.50
  6. Step 6: Final answer
    x = 334,826.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.