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Finding the Third Proportional to 174,864 and 313,741.50

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Solution

The third proportional to 174,864 and 313,741.50 is: 562,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,864 : 313,741.50 = 313,741.50 : x
  2. Step 2: Convert to fraction form
    174,864/313,741.50 = 313,741.50/x
  3. Step 3: Cross multiply
    174,864x = 313,741.50 × 313,741.50
  4. Step 4: Simplify right side
    174,864x = 98,433,728,822.25
  5. Step 5: Solve for x
    x = 98,433,728,822.25/174,864
  6. Step 6: Final answer
    x = 562,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.