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Finding the Third Proportional to 236,871.84 and 364,456.55

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Solution

The third proportional to 236,871.84 and 364,456.55 is: 560,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,871.84 : 364,456.55 = 364,456.55 : x
  2. Step 2: Convert to fraction form
    236,871.84/364,456.55 = 364,456.55/x
  3. Step 3: Cross multiply
    236,871.84x = 364,456.55 × 364,456.55
  4. Step 4: Simplify right side
    236,871.84x = 132,828,574,560.05
  5. Step 5: Solve for x
    x = 132,828,574,560.05/236,871.84
  6. Step 6: Final answer
    x = 560,761.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.