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Finding the Third Proportional to 197,064 and 288,604

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Solution

The third proportional to 197,064 and 288,604 is: 422,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064 : 288,604 = 288,604 : x
  2. Step 2: Convert to fraction form
    197,064/288,604 = 288,604/x
  3. Step 3: Cross multiply
    197,064x = 288,604 × 288,604
  4. Step 4: Simplify right side
    197,064x = 83,292,268,816
  5. Step 5: Solve for x
    x = 83,292,268,816/197,064
  6. Step 6: Final answer
    x = 422,666.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.