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Finding the Third Proportional to 173,403 and 259,402.50

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Solution

The third proportional to 173,403 and 259,402.50 is: 388,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,403 : 259,402.50 = 259,402.50 : x
  2. Step 2: Convert to fraction form
    173,403/259,402.50 = 259,402.50/x
  3. Step 3: Cross multiply
    173,403x = 259,402.50 × 259,402.50
  4. Step 4: Simplify right side
    173,403x = 67,289,657,006.25
  5. Step 5: Solve for x
    x = 67,289,657,006.25/173,403
  6. Step 6: Final answer
    x = 388,053.59

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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.