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Finding the Third Proportional to 185,076 and 250,804

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Solution

The third proportional to 185,076 and 250,804 is: 339,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,076 : 250,804 = 250,804 : x
  2. Step 2: Convert to fraction form
    185,076/250,804 = 250,804/x
  3. Step 3: Cross multiply
    185,076x = 250,804 × 250,804
  4. Step 4: Simplify right side
    185,076x = 62,902,646,416
  5. Step 5: Solve for x
    x = 62,902,646,416/185,076
  6. Step 6: Final answer
    x = 339,874.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.