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Finding the Third Proportional to 197,064 and 294,300

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Solution

The third proportional to 197,064 and 294,300 is: 439,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064 : 294,300 = 294,300 : x
  2. Step 2: Convert to fraction form
    197,064/294,300 = 294,300/x
  3. Step 3: Cross multiply
    197,064x = 294,300 × 294,300
  4. Step 4: Simplify right side
    197,064x = 86,612,490,000
  5. Step 5: Solve for x
    x = 86,612,490,000/197,064
  6. Step 6: Final answer
    x = 439,514.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.