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Finding the Third Proportional to 350,158.50 and 768,897

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Solution

The third proportional to 350,158.50 and 768,897 is: 1,688,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,158.50 : 768,897 = 768,897 : x
  2. Step 2: Convert to fraction form
    350,158.50/768,897 = 768,897/x
  3. Step 3: Cross multiply
    350,158.50x = 768,897 × 768,897
  4. Step 4: Simplify right side
    350,158.50x = 591,202,596,609
  5. Step 5: Solve for x
    x = 591,202,596,609/350,158.50
  6. Step 6: Final answer
    x = 1,688,385.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.