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Finding the Third Proportional to 170,695.50 and 374,044.50

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Solution

The third proportional to 170,695.50 and 374,044.50 is: 819,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,695.50 : 374,044.50 = 374,044.50 : x
  2. Step 2: Convert to fraction form
    170,695.50/374,044.50 = 374,044.50/x
  3. Step 3: Cross multiply
    170,695.50x = 374,044.50 × 374,044.50
  4. Step 4: Simplify right side
    170,695.50x = 139,909,287,980.25
  5. Step 5: Solve for x
    x = 139,909,287,980.25/170,695.50
  6. Step 6: Final answer
    x = 819,642.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.