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Finding the Third Proportional to 130,984 and 197,242

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Solution

The third proportional to 130,984 and 197,242 is: 297,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,984 : 197,242 = 197,242 : x
  2. Step 2: Convert to fraction form
    130,984/197,242 = 197,242/x
  3. Step 3: Cross multiply
    130,984x = 197,242 × 197,242
  4. Step 4: Simplify right side
    130,984x = 38,904,406,564
  5. Step 5: Solve for x
    x = 38,904,406,564/130,984
  6. Step 6: Final answer
    x = 297,016.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.