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Finding the Third Proportional to 173,147.63 and 259,726.50

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Solution

The third proportional to 173,147.63 and 259,726.50 is: 389,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,147.63 : 259,726.50 = 259,726.50 : x
  2. Step 2: Convert to fraction form
    173,147.63/259,726.50 = 259,726.50/x
  3. Step 3: Cross multiply
    173,147.63x = 259,726.50 × 259,726.50
  4. Step 4: Simplify right side
    173,147.63x = 67,457,854,802.25
  5. Step 5: Solve for x
    x = 67,457,854,802.25/173,147.63
  6. Step 6: Final answer
    x = 389,597.34

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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.