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Finding the Third Proportional to 128,156.50 and 197,254.50

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Solution

The third proportional to 128,156.50 and 197,254.50 is: 303,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,156.50 : 197,254.50 = 197,254.50 : x
  2. Step 2: Convert to fraction form
    128,156.50/197,254.50 = 197,254.50/x
  3. Step 3: Cross multiply
    128,156.50x = 197,254.50 × 197,254.50
  4. Step 4: Simplify right side
    128,156.50x = 38,909,337,770.25
  5. Step 5: Solve for x
    x = 38,909,337,770.25/128,156.50
  6. Step 6: Final answer
    x = 303,607.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.