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Finding the Third Proportional to 134,688 and 290,184

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Solution

The third proportional to 134,688 and 290,184 is: 625,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,688 : 290,184 = 290,184 : x
  2. Step 2: Convert to fraction form
    134,688/290,184 = 290,184/x
  3. Step 3: Cross multiply
    134,688x = 290,184 × 290,184
  4. Step 4: Simplify right side
    134,688x = 84,206,753,856
  5. Step 5: Solve for x
    x = 84,206,753,856/134,688
  6. Step 6: Final answer
    x = 625,198.64

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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.