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Finding the Third Proportional to 173,893.50 and 366,465

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Solution

The third proportional to 173,893.50 and 366,465 is: 772,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,893.50 : 366,465 = 366,465 : x
  2. Step 2: Convert to fraction form
    173,893.50/366,465 = 366,465/x
  3. Step 3: Cross multiply
    173,893.50x = 366,465 × 366,465
  4. Step 4: Simplify right side
    173,893.50x = 134,296,596,225
  5. Step 5: Solve for x
    x = 134,296,596,225/173,893.50
  6. Step 6: Final answer
    x = 772,292.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.