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Finding the Third Proportional to 245,203.50 and 382,336.50

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Solution

The third proportional to 245,203.50 and 382,336.50 is: 596,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,203.50 : 382,336.50 = 382,336.50 : x
  2. Step 2: Convert to fraction form
    245,203.50/382,336.50 = 382,336.50/x
  3. Step 3: Cross multiply
    245,203.50x = 382,336.50 × 382,336.50
  4. Step 4: Simplify right side
    245,203.50x = 146,181,199,232.25
  5. Step 5: Solve for x
    x = 146,181,199,232.25/245,203.50
  6. Step 6: Final answer
    x = 596,162.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.