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Finding the Third Proportional to 128,298.94 and 184,809.94

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Solution

The third proportional to 128,298.94 and 184,809.94 is: 266,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,298.94 : 184,809.94 = 184,809.94 : x
  2. Step 2: Convert to fraction form
    128,298.94/184,809.94 = 184,809.94/x
  3. Step 3: Cross multiply
    128,298.94x = 184,809.94 × 184,809.94
  4. Step 4: Simplify right side
    128,298.94x = 34,154,712,998.75
  5. Step 5: Solve for x
    x = 34,154,712,998.75/128,298.94
  6. Step 6: Final answer
    x = 266,211.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.