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Finding the Third Proportional to 174,713.63 and 377,989.88

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Solution

The third proportional to 174,713.63 and 377,989.88 is: 817,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,713.63 : 377,989.88 = 377,989.88 : x
  2. Step 2: Convert to fraction form
    174,713.63/377,989.88 = 377,989.88/x
  3. Step 3: Cross multiply
    174,713.63x = 377,989.88 × 377,989.88
  4. Step 4: Simplify right side
    174,713.63x = 142,876,345,602.52
  5. Step 5: Solve for x
    x = 142,876,345,602.52/174,713.63
  6. Step 6: Final answer
    x = 817,774.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.