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Finding the Third Proportional to 94,709 and 204,178

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Solution

The third proportional to 94,709 and 204,178 is: 440,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,709 : 204,178 = 204,178 : x
  2. Step 2: Convert to fraction form
    94,709/204,178 = 204,178/x
  3. Step 3: Cross multiply
    94,709x = 204,178 × 204,178
  4. Step 4: Simplify right side
    94,709x = 41,688,655,684
  5. Step 5: Solve for x
    x = 41,688,655,684/94,709
  6. Step 6: Final answer
    x = 440,176.28

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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.