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Finding the Third Proportional to 185,826.66 and 393,386.63

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Solution

The third proportional to 185,826.66 and 393,386.63 is: 832,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,826.66 : 393,386.63 = 393,386.63 : x
  2. Step 2: Convert to fraction form
    185,826.66/393,386.63 = 393,386.63/x
  3. Step 3: Cross multiply
    185,826.66x = 393,386.63 × 393,386.63
  4. Step 4: Simplify right side
    185,826.66x = 154,753,036,728.89
  5. Step 5: Solve for x
    x = 154,753,036,728.89/185,826.66
  6. Step 6: Final answer
    x = 832,781.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.