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Finding the Third Proportional to 180,339 and 259,762.50

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Solution

The third proportional to 180,339 and 259,762.50 is: 374,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,339 : 259,762.50 = 259,762.50 : x
  2. Step 2: Convert to fraction form
    180,339/259,762.50 = 259,762.50/x
  3. Step 3: Cross multiply
    180,339x = 259,762.50 × 259,762.50
  4. Step 4: Simplify right side
    180,339x = 67,476,556,406.25
  5. Step 5: Solve for x
    x = 67,476,556,406.25/180,339
  6. Step 6: Final answer
    x = 374,165.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.