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Finding the Third Proportional to 184,437 and 407,700

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Solution

The third proportional to 184,437 and 407,700 is: 901,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,437 : 407,700 = 407,700 : x
  2. Step 2: Convert to fraction form
    184,437/407,700 = 407,700/x
  3. Step 3: Cross multiply
    184,437x = 407,700 × 407,700
  4. Step 4: Simplify right side
    184,437x = 166,219,290,000
  5. Step 5: Solve for x
    x = 166,219,290,000/184,437
  6. Step 6: Final answer
    x = 901,225.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.