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Finding the Third Proportional to 128,889 and 282,564

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Solution

The third proportional to 128,889 and 282,564 is: 619,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,889 : 282,564 = 282,564 : x
  2. Step 2: Convert to fraction form
    128,889/282,564 = 282,564/x
  3. Step 3: Cross multiply
    128,889x = 282,564 × 282,564
  4. Step 4: Simplify right side
    128,889x = 79,842,414,096
  5. Step 5: Solve for x
    x = 79,842,414,096/128,889
  6. Step 6: Final answer
    x = 619,466.47

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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.