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Finding the Third Proportional to 161,106 and 349,912.50

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Solution

The third proportional to 161,106 and 349,912.50 is: 759,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,106 : 349,912.50 = 349,912.50 : x
  2. Step 2: Convert to fraction form
    161,106/349,912.50 = 349,912.50/x
  3. Step 3: Cross multiply
    161,106x = 349,912.50 × 349,912.50
  4. Step 4: Simplify right side
    161,106x = 122,438,757,656.25
  5. Step 5: Solve for x
    x = 122,438,757,656.25/161,106
  6. Step 6: Final answer
    x = 759,988.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.