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Finding the Third Proportional to 92,346 and 199,457

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Solution

The third proportional to 92,346 and 199,457 is: 430,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,346 : 199,457 = 199,457 : x
  2. Step 2: Convert to fraction form
    92,346/199,457 = 199,457/x
  3. Step 3: Cross multiply
    92,346x = 199,457 × 199,457
  4. Step 4: Simplify right side
    92,346x = 39,783,094,849
  5. Step 5: Solve for x
    x = 39,783,094,849/92,346
  6. Step 6: Final answer
    x = 430,804.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.