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Finding the Third Proportional to 216,164.53 and 345,326.20

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Solution

The third proportional to 216,164.53 and 345,326.20 is: 551,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,164.53 : 345,326.20 = 345,326.20 : x
  2. Step 2: Convert to fraction form
    216,164.53/345,326.20 = 345,326.20/x
  3. Step 3: Cross multiply
    216,164.53x = 345,326.20 × 345,326.20
  4. Step 4: Simplify right side
    216,164.53x = 119,250,186,564.73
  5. Step 5: Solve for x
    x = 119,250,186,564.73/216,164.53
  6. Step 6: Final answer
    x = 551,663.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.