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Finding the Third Proportional to 149,708 and 320,160

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Solution

The third proportional to 149,708 and 320,160 is: 684,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,708 : 320,160 = 320,160 : x
  2. Step 2: Convert to fraction form
    149,708/320,160 = 320,160/x
  3. Step 3: Cross multiply
    149,708x = 320,160 × 320,160
  4. Step 4: Simplify right side
    149,708x = 102,502,425,600
  5. Step 5: Solve for x
    x = 102,502,425,600/149,708
  6. Step 6: Final answer
    x = 684,682.35

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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.