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Finding the Third Proportional to 171,708.19 and 377,673.47

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Solution

The third proportional to 171,708.19 and 377,673.47 is: 830,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,708.19 : 377,673.47 = 377,673.47 : x
  2. Step 2: Convert to fraction form
    171,708.19/377,673.47 = 377,673.47/x
  3. Step 3: Cross multiply
    171,708.19x = 377,673.47 × 377,673.47
  4. Step 4: Simplify right side
    171,708.19x = 142,637,248,997.66
  5. Step 5: Solve for x
    x = 142,637,248,997.66/171,708.19
  6. Step 6: Final answer
    x = 830,695.68

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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.