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Finding the Third Proportional to 119,651.50 and 185,246.75

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Solution

The third proportional to 119,651.50 and 185,246.75 is: 286,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,651.50 : 185,246.75 = 185,246.75 : x
  2. Step 2: Convert to fraction form
    119,651.50/185,246.75 = 185,246.75/x
  3. Step 3: Cross multiply
    119,651.50x = 185,246.75 × 185,246.75
  4. Step 4: Simplify right side
    119,651.50x = 34,316,358,385.56
  5. Step 5: Solve for x
    x = 34,316,358,385.56/119,651.50
  6. Step 6: Final answer
    x = 286,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.