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Finding the Third Proportional to 137,970 and 301,212

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Solution

The third proportional to 137,970 and 301,212 is: 657,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970 : 301,212 = 301,212 : x
  2. Step 2: Convert to fraction form
    137,970/301,212 = 301,212/x
  3. Step 3: Cross multiply
    137,970x = 301,212 × 301,212
  4. Step 4: Simplify right side
    137,970x = 90,728,668,944
  5. Step 5: Solve for x
    x = 90,728,668,944/137,970
  6. Step 6: Final answer
    x = 657,597.08

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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.