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Finding the Third Proportional to 119,692.69 and 292,465.69

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Solution

The third proportional to 119,692.69 and 292,465.69 is: 714,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,692.69 : 292,465.69 = 292,465.69 : x
  2. Step 2: Convert to fraction form
    119,692.69/292,465.69 = 292,465.69/x
  3. Step 3: Cross multiply
    119,692.69x = 292,465.69 × 292,465.69
  4. Step 4: Simplify right side
    119,692.69x = 85,536,178,364.85
  5. Step 5: Solve for x
    x = 85,536,178,364.85/119,692.69
  6. Step 6: Final answer
    x = 714,631.61

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.