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Finding the Third Proportional to 173,685 and 259,798

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Solution

The third proportional to 173,685 and 259,798 is: 388,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,685 : 259,798 = 259,798 : x
  2. Step 2: Convert to fraction form
    173,685/259,798 = 259,798/x
  3. Step 3: Cross multiply
    173,685x = 259,798 × 259,798
  4. Step 4: Simplify right side
    173,685x = 67,495,000,804
  5. Step 5: Solve for x
    x = 67,495,000,804/173,685
  6. Step 6: Final answer
    x = 388,605.81

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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.