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Finding the Third Proportional to 189,984.50 and 296,478.50

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Solution

The third proportional to 189,984.50 and 296,478.50 is: 462,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,984.50 : 296,478.50 = 296,478.50 : x
  2. Step 2: Convert to fraction form
    189,984.50/296,478.50 = 296,478.50/x
  3. Step 3: Cross multiply
    189,984.50x = 296,478.50 × 296,478.50
  4. Step 4: Simplify right side
    189,984.50x = 87,899,500,962.25
  5. Step 5: Solve for x
    x = 87,899,500,962.25/189,984.50
  6. Step 6: Final answer
    x = 462,666.70

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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.