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Finding the Third Proportional to 88,617 and 194,457

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Solution

The third proportional to 88,617 and 194,457 is: 426,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,617 : 194,457 = 194,457 : x
  2. Step 2: Convert to fraction form
    88,617/194,457 = 194,457/x
  3. Step 3: Cross multiply
    88,617x = 194,457 × 194,457
  4. Step 4: Simplify right side
    88,617x = 37,813,524,849
  5. Step 5: Solve for x
    x = 37,813,524,849/88,617
  6. Step 6: Final answer
    x = 426,707.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.