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Finding the Third Proportional to 161,710 and 340,178

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Solution

The third proportional to 161,710 and 340,178 is: 715,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,710 : 340,178 = 340,178 : x
  2. Step 2: Convert to fraction form
    161,710/340,178 = 340,178/x
  3. Step 3: Cross multiply
    161,710x = 340,178 × 340,178
  4. Step 4: Simplify right side
    161,710x = 115,721,071,684
  5. Step 5: Solve for x
    x = 115,721,071,684/161,710
  6. Step 6: Final answer
    x = 715,608.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.