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Finding the Third Proportional to 130,289 and 194,666

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Solution

The third proportional to 130,289 and 194,666 is: 290,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,289 : 194,666 = 194,666 : x
  2. Step 2: Convert to fraction form
    130,289/194,666 = 194,666/x
  3. Step 3: Cross multiply
    130,289x = 194,666 × 194,666
  4. Step 4: Simplify right side
    130,289x = 37,894,851,556
  5. Step 5: Solve for x
    x = 37,894,851,556/130,289
  6. Step 6: Final answer
    x = 290,852.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.