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Finding the Third Proportional to 252,973.50 and 378,092.25

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Solution

The third proportional to 252,973.50 and 378,092.25 is: 565,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,973.50 : 378,092.25 = 378,092.25 : x
  2. Step 2: Convert to fraction form
    252,973.50/378,092.25 = 378,092.25/x
  3. Step 3: Cross multiply
    252,973.50x = 378,092.25 × 378,092.25
  4. Step 4: Simplify right side
    252,973.50x = 142,953,749,510.06
  5. Step 5: Solve for x
    x = 142,953,749,510.06/252,973.50
  6. Step 6: Final answer
    x = 565,093.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.