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Finding the Third Proportional to 189,084.38 and 253,373.06

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Solution

The third proportional to 189,084.38 and 253,373.06 is: 339,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084.38 : 253,373.06 = 253,373.06 : x
  2. Step 2: Convert to fraction form
    189,084.38/253,373.06 = 253,373.06/x
  3. Step 3: Cross multiply
    189,084.38x = 253,373.06 × 253,373.06
  4. Step 4: Simplify right side
    189,084.38x = 64,197,908,800.63
  5. Step 5: Solve for x
    x = 64,197,908,800.63/189,084.38
  6. Step 6: Final answer
    x = 339,519.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.