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Finding the Third Proportional to 119,295.28 and 259,582.22

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Solution

The third proportional to 119,295.28 and 259,582.22 is: 564,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.28 : 259,582.22 = 259,582.22 : x
  2. Step 2: Convert to fraction form
    119,295.28/259,582.22 = 259,582.22/x
  3. Step 3: Cross multiply
    119,295.28x = 259,582.22 × 259,582.22
  4. Step 4: Simplify right side
    119,295.28x = 67,382,928,291.17
  5. Step 5: Solve for x
    x = 67,382,928,291.17/119,295.28
  6. Step 6: Final answer
    x = 564,841.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.