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Finding the Third Proportional to 229,649.50 and 326,613.50

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Solution

The third proportional to 229,649.50 and 326,613.50 is: 464,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,649.50 : 326,613.50 = 326,613.50 : x
  2. Step 2: Convert to fraction form
    229,649.50/326,613.50 = 326,613.50/x
  3. Step 3: Cross multiply
    229,649.50x = 326,613.50 × 326,613.50
  4. Step 4: Simplify right side
    229,649.50x = 106,676,378,382.25
  5. Step 5: Solve for x
    x = 106,676,378,382.25/229,649.50
  6. Step 6: Final answer
    x = 464,518.23

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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.