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Finding the Third Proportional to 189,283.50 and 293,037.75

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Solution

The third proportional to 189,283.50 and 293,037.75 is: 453,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,283.50 : 293,037.75 = 293,037.75 : x
  2. Step 2: Convert to fraction form
    189,283.50/293,037.75 = 293,037.75/x
  3. Step 3: Cross multiply
    189,283.50x = 293,037.75 × 293,037.75
  4. Step 4: Simplify right side
    189,283.50x = 85,871,122,925.06
  5. Step 5: Solve for x
    x = 85,871,122,925.06/189,283.50
  6. Step 6: Final answer
    x = 453,664.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.