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Finding the Third Proportional to 173,710.50 and 275,287.50

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Solution

The third proportional to 173,710.50 and 275,287.50 is: 436,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,710.50 : 275,287.50 = 275,287.50 : x
  2. Step 2: Convert to fraction form
    173,710.50/275,287.50 = 275,287.50/x
  3. Step 3: Cross multiply
    173,710.50x = 275,287.50 × 275,287.50
  4. Step 4: Simplify right side
    173,710.50x = 75,783,207,656.25
  5. Step 5: Solve for x
    x = 75,783,207,656.25/173,710.50
  6. Step 6: Final answer
    x = 436,261.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.