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Finding the Third Proportional to 174,100 and 260,490

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Solution

The third proportional to 174,100 and 260,490 is: 389,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,100 : 260,490 = 260,490 : x
  2. Step 2: Convert to fraction form
    174,100/260,490 = 260,490/x
  3. Step 3: Cross multiply
    174,100x = 260,490 × 260,490
  4. Step 4: Simplify right side
    174,100x = 67,855,040,100
  5. Step 5: Solve for x
    x = 67,855,040,100/174,100
  6. Step 6: Final answer
    x = 389,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.