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Finding the Third Proportional to 150,246 and 229,158

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Solution

The third proportional to 150,246 and 229,158 is: 349,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,246 : 229,158 = 229,158 : x
  2. Step 2: Convert to fraction form
    150,246/229,158 = 229,158/x
  3. Step 3: Cross multiply
    150,246x = 229,158 × 229,158
  4. Step 4: Simplify right side
    150,246x = 52,513,388,964
  5. Step 5: Solve for x
    x = 52,513,388,964/150,246
  6. Step 6: Final answer
    x = 349,516.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.