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Finding the Third Proportional to 238,075.45 and 512,595.21

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Solution

The third proportional to 238,075.45 and 512,595.21 is: 1,103,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,075.45 : 512,595.21 = 512,595.21 : x
  2. Step 2: Convert to fraction form
    238,075.45/512,595.21 = 512,595.21/x
  3. Step 3: Cross multiply
    238,075.45x = 512,595.21 × 512,595.21
  4. Step 4: Simplify right side
    238,075.45x = 262,753,850,276.04
  5. Step 5: Solve for x
    x = 262,753,850,276.04/238,075.45
  6. Step 6: Final answer
    x = 1,103,657.88

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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.