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Finding the Third Proportional to 161,586 and 245,295

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Solution

The third proportional to 161,586 and 245,295 is: 372,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,586 : 245,295 = 245,295 : x
  2. Step 2: Convert to fraction form
    161,586/245,295 = 245,295/x
  3. Step 3: Cross multiply
    161,586x = 245,295 × 245,295
  4. Step 4: Simplify right side
    161,586x = 60,169,637,025
  5. Step 5: Solve for x
    x = 60,169,637,025/161,586
  6. Step 6: Final answer
    x = 372,369.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.