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Finding the Third Proportional to 90,457 and 196,985

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Solution

The third proportional to 90,457 and 196,985 is: 428,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,457 : 196,985 = 196,985 : x
  2. Step 2: Convert to fraction form
    90,457/196,985 = 196,985/x
  3. Step 3: Cross multiply
    90,457x = 196,985 × 196,985
  4. Step 4: Simplify right side
    90,457x = 38,803,090,225
  5. Step 5: Solve for x
    x = 38,803,090,225/90,457
  6. Step 6: Final answer
    x = 428,967.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.