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Finding the Third Proportional to 77,608.50 and 170,457

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Solution

The third proportional to 77,608.50 and 170,457 is: 374,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.50 : 170,457 = 170,457 : x
  2. Step 2: Convert to fraction form
    77,608.50/170,457 = 170,457/x
  3. Step 3: Cross multiply
    77,608.50x = 170,457 × 170,457
  4. Step 4: Simplify right side
    77,608.50x = 29,055,588,849
  5. Step 5: Solve for x
    x = 29,055,588,849/77,608.50
  6. Step 6: Final answer
    x = 374,386.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.