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Finding the Third Proportional to 164,281.50 and 364,226.25

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Solution

The third proportional to 164,281.50 and 364,226.25 is: 807,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,281.50 : 364,226.25 = 364,226.25 : x
  2. Step 2: Convert to fraction form
    164,281.50/364,226.25 = 364,226.25/x
  3. Step 3: Cross multiply
    164,281.50x = 364,226.25 × 364,226.25
  4. Step 4: Simplify right side
    164,281.50x = 132,660,761,189.06
  5. Step 5: Solve for x
    x = 132,660,761,189.06/164,281.50
  6. Step 6: Final answer
    x = 807,521.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.