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Finding the Third Proportional to 194,598 and 248,656.50

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Solution

The third proportional to 194,598 and 248,656.50 is: 317,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,598 : 248,656.50 = 248,656.50 : x
  2. Step 2: Convert to fraction form
    194,598/248,656.50 = 248,656.50/x
  3. Step 3: Cross multiply
    194,598x = 248,656.50 × 248,656.50
  4. Step 4: Simplify right side
    194,598x = 61,830,054,992.25
  5. Step 5: Solve for x
    x = 61,830,054,992.25/194,598
  6. Step 6: Final answer
    x = 317,732.22

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.