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Finding the Third Proportional to 238,518 and 370,737

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Solution

The third proportional to 238,518 and 370,737 is: 576,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,518 : 370,737 = 370,737 : x
  2. Step 2: Convert to fraction form
    238,518/370,737 = 370,737/x
  3. Step 3: Cross multiply
    238,518x = 370,737 × 370,737
  4. Step 4: Simplify right side
    238,518x = 137,445,923,169
  5. Step 5: Solve for x
    x = 137,445,923,169/238,518
  6. Step 6: Final answer
    x = 576,249.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.