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Finding the Third Proportional to 173,060 and 259,590

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Solution

The third proportional to 173,060 and 259,590 is: 389,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,060 : 259,590 = 259,590 : x
  2. Step 2: Convert to fraction form
    173,060/259,590 = 259,590/x
  3. Step 3: Cross multiply
    173,060x = 259,590 × 259,590
  4. Step 4: Simplify right side
    173,060x = 67,386,968,100
  5. Step 5: Solve for x
    x = 67,386,968,100/173,060
  6. Step 6: Final answer
    x = 389,385

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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.