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Finding the Third Proportional to 128,748 and 196,951.50

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Solution

The third proportional to 128,748 and 196,951.50 is: 301,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,748 : 196,951.50 = 196,951.50 : x
  2. Step 2: Convert to fraction form
    128,748/196,951.50 = 196,951.50/x
  3. Step 3: Cross multiply
    128,748x = 196,951.50 × 196,951.50
  4. Step 4: Simplify right side
    128,748x = 38,789,893,352.25
  5. Step 5: Solve for x
    x = 38,789,893,352.25/128,748
  6. Step 6: Final answer
    x = 301,285.41

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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.