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Finding the Third Proportional to 182,598 and 289,737

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Solution

The third proportional to 182,598 and 289,737 is: 459,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,598 : 289,737 = 289,737 : x
  2. Step 2: Convert to fraction form
    182,598/289,737 = 289,737/x
  3. Step 3: Cross multiply
    182,598x = 289,737 × 289,737
  4. Step 4: Simplify right side
    182,598x = 83,947,529,169
  5. Step 5: Solve for x
    x = 83,947,529,169/182,598
  6. Step 6: Final answer
    x = 459,739.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.