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Finding the Third Proportional to 160,656 and 214,632

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Solution

The third proportional to 160,656 and 214,632 is: 286,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,656 : 214,632 = 214,632 : x
  2. Step 2: Convert to fraction form
    160,656/214,632 = 214,632/x
  3. Step 3: Cross multiply
    160,656x = 214,632 × 214,632
  4. Step 4: Simplify right side
    160,656x = 46,066,895,424
  5. Step 5: Solve for x
    x = 46,066,895,424/160,656
  6. Step 6: Final answer
    x = 286,742.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.