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Finding the Third Proportional to 134,895 and 197,968.50

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Solution

The third proportional to 134,895 and 197,968.50 is: 290,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,895 : 197,968.50 = 197,968.50 : x
  2. Step 2: Convert to fraction form
    134,895/197,968.50 = 197,968.50/x
  3. Step 3: Cross multiply
    134,895x = 197,968.50 × 197,968.50
  4. Step 4: Simplify right side
    134,895x = 39,191,526,992.25
  5. Step 5: Solve for x
    x = 39,191,526,992.25/134,895
  6. Step 6: Final answer
    x = 290,533.58

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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.