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Finding the Third Proportional to 244,035 and 364,752

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Solution

The third proportional to 244,035 and 364,752 is: 545,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,035 : 364,752 = 364,752 : x
  2. Step 2: Convert to fraction form
    244,035/364,752 = 364,752/x
  3. Step 3: Cross multiply
    244,035x = 364,752 × 364,752
  4. Step 4: Simplify right side
    244,035x = 133,044,021,504
  5. Step 5: Solve for x
    x = 133,044,021,504/244,035
  6. Step 6: Final answer
    x = 545,184.18

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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.