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Finding the Third Proportional to 174,700 and 275,658

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Solution

The third proportional to 174,700 and 275,658 is: 434,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,700 : 275,658 = 275,658 : x
  2. Step 2: Convert to fraction form
    174,700/275,658 = 275,658/x
  3. Step 3: Cross multiply
    174,700x = 275,658 × 275,658
  4. Step 4: Simplify right side
    174,700x = 75,987,332,964
  5. Step 5: Solve for x
    x = 75,987,332,964/174,700
  6. Step 6: Final answer
    x = 434,958.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.