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Finding the Third Proportional to 185,187 and 262,210.50

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Solution

The third proportional to 185,187 and 262,210.50 is: 371,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,187 : 262,210.50 = 262,210.50 : x
  2. Step 2: Convert to fraction form
    185,187/262,210.50 = 262,210.50/x
  3. Step 3: Cross multiply
    185,187x = 262,210.50 × 262,210.50
  4. Step 4: Simplify right side
    185,187x = 68,754,346,310.25
  5. Step 5: Solve for x
    x = 68,754,346,310.25/185,187
  6. Step 6: Final answer
    x = 371,269.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.