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Finding the Third Proportional to 194,177 and 423,655

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Solution

The third proportional to 194,177 and 423,655 is: 924,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,177 : 423,655 = 423,655 : x
  2. Step 2: Convert to fraction form
    194,177/423,655 = 423,655/x
  3. Step 3: Cross multiply
    194,177x = 423,655 × 423,655
  4. Step 4: Simplify right side
    194,177x = 179,483,559,025
  5. Step 5: Solve for x
    x = 179,483,559,025/194,177
  6. Step 6: Final answer
    x = 924,329.65

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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.