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Finding the Third Proportional to 236,460 and 325,158

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Solution

The third proportional to 236,460 and 325,158 is: 447,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,460 : 325,158 = 325,158 : x
  2. Step 2: Convert to fraction form
    236,460/325,158 = 325,158/x
  3. Step 3: Cross multiply
    236,460x = 325,158 × 325,158
  4. Step 4: Simplify right side
    236,460x = 105,727,724,964
  5. Step 5: Solve for x
    x = 105,727,724,964/236,460
  6. Step 6: Final answer
    x = 447,127.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.