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Finding the Third Proportional to 147,816 and 325,156

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Solution

The third proportional to 147,816 and 325,156 is: 715,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816 : 325,156 = 325,156 : x
  2. Step 2: Convert to fraction form
    147,816/325,156 = 325,156/x
  3. Step 3: Cross multiply
    147,816x = 325,156 × 325,156
  4. Step 4: Simplify right side
    147,816x = 105,726,424,336
  5. Step 5: Solve for x
    x = 105,726,424,336/147,816
  6. Step 6: Final answer
    x = 715,256.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.