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Finding the Third Proportional to 152,210 and 238,764

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Solution

The third proportional to 152,210 and 238,764 is: 374,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,210 : 238,764 = 238,764 : x
  2. Step 2: Convert to fraction form
    152,210/238,764 = 238,764/x
  3. Step 3: Cross multiply
    152,210x = 238,764 × 238,764
  4. Step 4: Simplify right side
    152,210x = 57,008,247,696
  5. Step 5: Solve for x
    x = 57,008,247,696/152,210
  6. Step 6: Final answer
    x = 374,536.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.