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Finding the Third Proportional to 189,988 and 296,485

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Solution

The third proportional to 189,988 and 296,485 is: 462,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988 : 296,485 = 296,485 : x
  2. Step 2: Convert to fraction form
    189,988/296,485 = 296,485/x
  3. Step 3: Cross multiply
    189,988x = 296,485 × 296,485
  4. Step 4: Simplify right side
    189,988x = 87,903,355,225
  5. Step 5: Solve for x
    x = 87,903,355,225/189,988
  6. Step 6: Final answer
    x = 462,678.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.