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Finding the Third Proportional to 70,762.50 and 154,649.25

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Solution

The third proportional to 70,762.50 and 154,649.25 is: 337,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,762.50 : 154,649.25 = 154,649.25 : x
  2. Step 2: Convert to fraction form
    70,762.50/154,649.25 = 154,649.25/x
  3. Step 3: Cross multiply
    70,762.50x = 154,649.25 × 154,649.25
  4. Step 4: Simplify right side
    70,762.50x = 23,916,390,525.56
  5. Step 5: Solve for x
    x = 23,916,390,525.56/70,762.50
  6. Step 6: Final answer
    x = 337,981.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.