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Finding the Third Proportional to 189,294 and 404,852

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Solution

The third proportional to 189,294 and 404,852 is: 865,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,294 : 404,852 = 404,852 : x
  2. Step 2: Convert to fraction form
    189,294/404,852 = 404,852/x
  3. Step 3: Cross multiply
    189,294x = 404,852 × 404,852
  4. Step 4: Simplify right side
    189,294x = 163,905,141,904
  5. Step 5: Solve for x
    x = 163,905,141,904/189,294
  6. Step 6: Final answer
    x = 865,876.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.