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Finding the Third Proportional to 253,052.50 and 382,192.50

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Solution

The third proportional to 253,052.50 and 382,192.50 is: 577,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,052.50 : 382,192.50 = 382,192.50 : x
  2. Step 2: Convert to fraction form
    253,052.50/382,192.50 = 382,192.50/x
  3. Step 3: Cross multiply
    253,052.50x = 382,192.50 × 382,192.50
  4. Step 4: Simplify right side
    253,052.50x = 146,071,107,056.25
  5. Step 5: Solve for x
    x = 146,071,107,056.25/253,052.50
  6. Step 6: Final answer
    x = 577,236.37

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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.