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Finding the Third Proportional to 184,570 and 289,157

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Solution

The third proportional to 184,570 and 289,157 is: 453,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,570 : 289,157 = 289,157 : x
  2. Step 2: Convert to fraction form
    184,570/289,157 = 289,157/x
  3. Step 3: Cross multiply
    184,570x = 289,157 × 289,157
  4. Step 4: Simplify right side
    184,570x = 83,611,770,649
  5. Step 5: Solve for x
    x = 83,611,770,649/184,570
  6. Step 6: Final answer
    x = 453,008.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.