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Finding the Third Proportional to 77,304.69 and 166,295.69

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Solution

The third proportional to 77,304.69 and 166,295.69 is: 357,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,304.69 : 166,295.69 = 166,295.69 : x
  2. Step 2: Convert to fraction form
    77,304.69/166,295.69 = 166,295.69/x
  3. Step 3: Cross multiply
    77,304.69x = 166,295.69 × 166,295.69
  4. Step 4: Simplify right side
    77,304.69x = 27,654,255,681.10
  5. Step 5: Solve for x
    x = 27,654,255,681.10/77,304.69
  6. Step 6: Final answer
    x = 357,730.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.