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Finding the Third Proportional to 166,036 and 358,520

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Solution

The third proportional to 166,036 and 358,520 is: 774,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,036 : 358,520 = 358,520 : x
  2. Step 2: Convert to fraction form
    166,036/358,520 = 358,520/x
  3. Step 3: Cross multiply
    166,036x = 358,520 × 358,520
  4. Step 4: Simplify right side
    166,036x = 128,536,590,400
  5. Step 5: Solve for x
    x = 128,536,590,400/166,036
  6. Step 6: Final answer
    x = 774,148.92

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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.