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Finding the Third Proportional to 160,020 and 214,720

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Solution

The third proportional to 160,020 and 214,720 is: 288,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,020 : 214,720 = 214,720 : x
  2. Step 2: Convert to fraction form
    160,020/214,720 = 214,720/x
  3. Step 3: Cross multiply
    160,020x = 214,720 × 214,720
  4. Step 4: Simplify right side
    160,020x = 46,104,678,400
  5. Step 5: Solve for x
    x = 46,104,678,400/160,020
  6. Step 6: Final answer
    x = 288,118.23

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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.