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Finding the Third Proportional to 238,150.25 and 513,692.25

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Solution

The third proportional to 238,150.25 and 513,692.25 is: 1,108,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,150.25 : 513,692.25 = 513,692.25 : x
  2. Step 2: Convert to fraction form
    238,150.25/513,692.25 = 513,692.25/x
  3. Step 3: Cross multiply
    238,150.25x = 513,692.25 × 513,692.25
  4. Step 4: Simplify right side
    238,150.25x = 263,879,727,710.06
  5. Step 5: Solve for x
    x = 263,879,727,710.06/238,150.25
  6. Step 6: Final answer
    x = 1,108,038.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.