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Finding the Third Proportional to 203,175 and 304,762.50

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Solution

The third proportional to 203,175 and 304,762.50 is: 457,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,175 : 304,762.50 = 304,762.50 : x
  2. Step 2: Convert to fraction form
    203,175/304,762.50 = 304,762.50/x
  3. Step 3: Cross multiply
    203,175x = 304,762.50 × 304,762.50
  4. Step 4: Simplify right side
    203,175x = 92,880,181,406.25
  5. Step 5: Solve for x
    x = 92,880,181,406.25/203,175
  6. Step 6: Final answer
    x = 457,143.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.