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Finding the Third Proportional to 173,826 and 366,332.63

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Solution

The third proportional to 173,826 and 366,332.63 is: 772,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,826 : 366,332.63 = 366,332.63 : x
  2. Step 2: Convert to fraction form
    173,826/366,332.63 = 366,332.63/x
  3. Step 3: Cross multiply
    173,826x = 366,332.63 × 366,332.63
  4. Step 4: Simplify right side
    173,826x = 134,199,592,139.39
  5. Step 5: Solve for x
    x = 134,199,592,139.39/173,826
  6. Step 6: Final answer
    x = 772,034.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.