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Finding the Third Proportional to 128,298.75 and 184,809.75

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Solution

The third proportional to 128,298.75 and 184,809.75 is: 266,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,298.75 : 184,809.75 = 184,809.75 : x
  2. Step 2: Convert to fraction form
    128,298.75/184,809.75 = 184,809.75/x
  3. Step 3: Cross multiply
    128,298.75x = 184,809.75 × 184,809.75
  4. Step 4: Simplify right side
    128,298.75x = 34,154,643,695.06
  5. Step 5: Solve for x
    x = 34,154,643,695.06/128,298.75
  6. Step 6: Final answer
    x = 266,211.82

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