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Finding the Third Proportional to 132,296 and 289,430

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Solution

The third proportional to 132,296 and 289,430 is: 633,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296 : 289,430 = 289,430 : x
  2. Step 2: Convert to fraction form
    132,296/289,430 = 289,430/x
  3. Step 3: Cross multiply
    132,296x = 289,430 × 289,430
  4. Step 4: Simplify right side
    132,296x = 83,769,724,900
  5. Step 5: Solve for x
    x = 83,769,724,900/132,296
  6. Step 6: Final answer
    x = 633,199.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.