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Finding the Third Proportional to 137,400 and 301,008

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Solution

The third proportional to 137,400 and 301,008 is: 659,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400 : 301,008 = 301,008 : x
  2. Step 2: Convert to fraction form
    137,400/301,008 = 301,008/x
  3. Step 3: Cross multiply
    137,400x = 301,008 × 301,008
  4. Step 4: Simplify right side
    137,400x = 90,605,816,064
  5. Step 5: Solve for x
    x = 90,605,816,064/137,400
  6. Step 6: Final answer
    x = 659,430.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.