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Finding the Third Proportional to 282,669.75 and 382,087.13

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Solution

The third proportional to 282,669.75 and 382,087.13 is: 516,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,669.75 : 382,087.13 = 382,087.13 : x
  2. Step 2: Convert to fraction form
    282,669.75/382,087.13 = 382,087.13/x
  3. Step 3: Cross multiply
    282,669.75x = 382,087.13 × 382,087.13
  4. Step 4: Simplify right side
    282,669.75x = 145,990,571,090.77
  5. Step 5: Solve for x
    x = 145,990,571,090.77/282,669.75
  6. Step 6: Final answer
    x = 516,470.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.