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Finding the Third Proportional to 238,137 and 510,804

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Solution

The third proportional to 238,137 and 510,804 is: 1,095,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,137 : 510,804 = 510,804 : x
  2. Step 2: Convert to fraction form
    238,137/510,804 = 510,804/x
  3. Step 3: Cross multiply
    238,137x = 510,804 × 510,804
  4. Step 4: Simplify right side
    238,137x = 260,920,726,416
  5. Step 5: Solve for x
    x = 260,920,726,416/238,137
  6. Step 6: Final answer
    x = 1,095,674.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.