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Finding the Third Proportional to 138,429 and 197,955

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Solution

The third proportional to 138,429 and 197,955 is: 283,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429 : 197,955 = 197,955 : x
  2. Step 2: Convert to fraction form
    138,429/197,955 = 197,955/x
  3. Step 3: Cross multiply
    138,429x = 197,955 × 197,955
  4. Step 4: Simplify right side
    138,429x = 39,186,182,025
  5. Step 5: Solve for x
    x = 39,186,182,025/138,429
  6. Step 6: Final answer
    x = 283,077.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.