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Finding the Third Proportional to 164,838 and 247,146

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Solution

The third proportional to 164,838 and 247,146 is: 370,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838 : 247,146 = 247,146 : x
  2. Step 2: Convert to fraction form
    164,838/247,146 = 247,146/x
  3. Step 3: Cross multiply
    164,838x = 247,146 × 247,146
  4. Step 4: Simplify right side
    164,838x = 61,081,145,316
  5. Step 5: Solve for x
    x = 61,081,145,316/164,838
  6. Step 6: Final answer
    x = 370,552.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.