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Finding the Third Proportional to 161,020 and 349,726

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Solution

The third proportional to 161,020 and 349,726 is: 759,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,020 : 349,726 = 349,726 : x
  2. Step 2: Convert to fraction form
    161,020/349,726 = 349,726/x
  3. Step 3: Cross multiply
    161,020x = 349,726 × 349,726
  4. Step 4: Simplify right side
    161,020x = 122,308,275,076
  5. Step 5: Solve for x
    x = 122,308,275,076/161,020
  6. Step 6: Final answer
    x = 759,584.37

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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.