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Finding the Third Proportional to 164,557.50 and 261,826.50

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Solution

The third proportional to 164,557.50 and 261,826.50 is: 416,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,557.50 : 261,826.50 = 261,826.50 : x
  2. Step 2: Convert to fraction form
    164,557.50/261,826.50 = 261,826.50/x
  3. Step 3: Cross multiply
    164,557.50x = 261,826.50 × 261,826.50
  4. Step 4: Simplify right side
    164,557.50x = 68,553,116,102.25
  5. Step 5: Solve for x
    x = 68,553,116,102.25/164,557.50
  6. Step 6: Final answer
    x = 416,590.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.