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Finding the Third Proportional to 164,605.50 and 240,635.81

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Solution

The third proportional to 164,605.50 and 240,635.81 is: 351,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,605.50 : 240,635.81 = 240,635.81 : x
  2. Step 2: Convert to fraction form
    164,605.50/240,635.81 = 240,635.81/x
  3. Step 3: Cross multiply
    164,605.50x = 240,635.81 × 240,635.81
  4. Step 4: Simplify right side
    164,605.50x = 57,905,594,257.54
  5. Step 5: Solve for x
    x = 57,905,594,257.54/164,605.50
  6. Step 6: Final answer
    x = 351,784.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.