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Finding the Third Proportional to 160,457 and 343,686

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Solution

The third proportional to 160,457 and 343,686 is: 736,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,457 : 343,686 = 343,686 : x
  2. Step 2: Convert to fraction form
    160,457/343,686 = 343,686/x
  3. Step 3: Cross multiply
    160,457x = 343,686 × 343,686
  4. Step 4: Simplify right side
    160,457x = 118,120,066,596
  5. Step 5: Solve for x
    x = 118,120,066,596/160,457
  6. Step 6: Final answer
    x = 736,147.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.