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Finding the Third Proportional to 145,610 and 206,264

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Solution

The third proportional to 145,610 and 206,264 is: 292,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,610 : 206,264 = 206,264 : x
  2. Step 2: Convert to fraction form
    145,610/206,264 = 206,264/x
  3. Step 3: Cross multiply
    145,610x = 206,264 × 206,264
  4. Step 4: Simplify right side
    145,610x = 42,544,837,696
  5. Step 5: Solve for x
    x = 42,544,837,696/145,610
  6. Step 6: Final answer
    x = 292,183.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.