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Finding the Third Proportional to 145,886 and 221,826

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Solution

The third proportional to 145,886 and 221,826 is: 337,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886 : 221,826 = 221,826 : x
  2. Step 2: Convert to fraction form
    145,886/221,826 = 221,826/x
  3. Step 3: Cross multiply
    145,886x = 221,826 × 221,826
  4. Step 4: Simplify right side
    145,886x = 49,206,774,276
  5. Step 5: Solve for x
    x = 49,206,774,276/145,886
  6. Step 6: Final answer
    x = 337,296.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.