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Finding the Third Proportional to 128,909 and 282,600

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Solution

The third proportional to 128,909 and 282,600 is: 619,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,909 : 282,600 = 282,600 : x
  2. Step 2: Convert to fraction form
    128,909/282,600 = 282,600/x
  3. Step 3: Cross multiply
    128,909x = 282,600 × 282,600
  4. Step 4: Simplify right side
    128,909x = 79,862,760,000
  5. Step 5: Solve for x
    x = 79,862,760,000/128,909
  6. Step 6: Final answer
    x = 619,528.19

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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.