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Finding the Third Proportional to 252,907.50 and 381,031.50

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Solution

The third proportional to 252,907.50 and 381,031.50 is: 574,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,907.50 : 381,031.50 = 381,031.50 : x
  2. Step 2: Convert to fraction form
    252,907.50/381,031.50 = 381,031.50/x
  3. Step 3: Cross multiply
    252,907.50x = 381,031.50 × 381,031.50
  4. Step 4: Simplify right side
    252,907.50x = 145,185,003,992.25
  5. Step 5: Solve for x
    x = 145,185,003,992.25/252,907.50
  6. Step 6: Final answer
    x = 574,063.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.