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Finding the Third Proportional to 220,866.75 and 299,463.75

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Solution

The third proportional to 220,866.75 and 299,463.75 is: 406,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866.75 : 299,463.75 = 299,463.75 : x
  2. Step 2: Convert to fraction form
    220,866.75/299,463.75 = 299,463.75/x
  3. Step 3: Cross multiply
    220,866.75x = 299,463.75 × 299,463.75
  4. Step 4: Simplify right side
    220,866.75x = 89,678,537,564.06
  5. Step 5: Solve for x
    x = 89,678,537,564.06/220,866.75
  6. Step 6: Final answer
    x = 406,030.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.