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Finding the Third Proportional to 137,984 and 301,236

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Solution

The third proportional to 137,984 and 301,236 is: 657,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984 : 301,236 = 301,236 : x
  2. Step 2: Convert to fraction form
    137,984/301,236 = 301,236/x
  3. Step 3: Cross multiply
    137,984x = 301,236 × 301,236
  4. Step 4: Simplify right side
    137,984x = 90,743,127,696
  5. Step 5: Solve for x
    x = 90,743,127,696/137,984
  6. Step 6: Final answer
    x = 657,635.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.