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Finding the Third Proportional to 174,178 and 260,590

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Solution

The third proportional to 174,178 and 260,590 is: 389,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,178 : 260,590 = 260,590 : x
  2. Step 2: Convert to fraction form
    174,178/260,590 = 260,590/x
  3. Step 3: Cross multiply
    174,178x = 260,590 × 260,590
  4. Step 4: Simplify right side
    174,178x = 67,907,148,100
  5. Step 5: Solve for x
    x = 67,907,148,100/174,178
  6. Step 6: Final answer
    x = 389,872.13

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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.