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Finding the Third Proportional to 266,161.50 and 423,284.25

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Solution

The third proportional to 266,161.50 and 423,284.25 is: 673,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,161.50 : 423,284.25 = 423,284.25 : x
  2. Step 2: Convert to fraction form
    266,161.50/423,284.25 = 423,284.25/x
  3. Step 3: Cross multiply
    266,161.50x = 423,284.25 × 423,284.25
  4. Step 4: Simplify right side
    266,161.50x = 179,169,556,298.06
  5. Step 5: Solve for x
    x = 179,169,556,298.06/266,161.50
  6. Step 6: Final answer
    x = 673,161.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.