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Finding the Third Proportional to 128,184 and 276,090

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Solution

The third proportional to 128,184 and 276,090 is: 594,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,184 : 276,090 = 276,090 : x
  2. Step 2: Convert to fraction form
    128,184/276,090 = 276,090/x
  3. Step 3: Cross multiply
    128,184x = 276,090 × 276,090
  4. Step 4: Simplify right side
    128,184x = 76,225,688,100
  5. Step 5: Solve for x
    x = 76,225,688,100/128,184
  6. Step 6: Final answer
    x = 594,658.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.