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Finding the Third Proportional to 88,457 and 194,290

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Solution

The third proportional to 88,457 and 194,290 is: 426,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,457 : 194,290 = 194,290 : x
  2. Step 2: Convert to fraction form
    88,457/194,290 = 194,290/x
  3. Step 3: Cross multiply
    88,457x = 194,290 × 194,290
  4. Step 4: Simplify right side
    88,457x = 37,748,604,100
  5. Step 5: Solve for x
    x = 37,748,604,100/88,457
  6. Step 6: Final answer
    x = 426,745.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.