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Finding the Third Proportional to 189,373.50 and 291,060

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Solution

The third proportional to 189,373.50 and 291,060 is: 447,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,373.50 : 291,060 = 291,060 : x
  2. Step 2: Convert to fraction form
    189,373.50/291,060 = 291,060/x
  3. Step 3: Cross multiply
    189,373.50x = 291,060 × 291,060
  4. Step 4: Simplify right side
    189,373.50x = 84,715,923,600
  5. Step 5: Solve for x
    x = 84,715,923,600/189,373.50
  6. Step 6: Final answer
    x = 447,348.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.