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Finding the Third Proportional to 93,494 and 202,840

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Solution

The third proportional to 93,494 and 202,840 is: 440,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,494 : 202,840 = 202,840 : x
  2. Step 2: Convert to fraction form
    93,494/202,840 = 202,840/x
  3. Step 3: Cross multiply
    93,494x = 202,840 × 202,840
  4. Step 4: Simplify right side
    93,494x = 41,144,065,600
  5. Step 5: Solve for x
    x = 41,144,065,600/93,494
  6. Step 6: Final answer
    x = 440,071.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.