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Finding the Third Proportional to 189,989 and 296,486

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Solution

The third proportional to 189,989 and 296,486 is: 462,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,989 : 296,486 = 296,486 : x
  2. Step 2: Convert to fraction form
    189,989/296,486 = 296,486/x
  3. Step 3: Cross multiply
    189,989x = 296,486 × 296,486
  4. Step 4: Simplify right side
    189,989x = 87,903,948,196
  5. Step 5: Solve for x
    x = 87,903,948,196/189,989
  6. Step 6: Final answer
    x = 462,679.15

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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.