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Finding the Third Proportional to 173,178 and 372,235.50

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Solution

The third proportional to 173,178 and 372,235.50 is: 800,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,178 : 372,235.50 = 372,235.50 : x
  2. Step 2: Convert to fraction form
    173,178/372,235.50 = 372,235.50/x
  3. Step 3: Cross multiply
    173,178x = 372,235.50 × 372,235.50
  4. Step 4: Simplify right side
    173,178x = 138,559,267,460.25
  5. Step 5: Solve for x
    x = 138,559,267,460.25/173,178
  6. Step 6: Final answer
    x = 800,097.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.