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Finding the Third Proportional to 154,164 and 230,202

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Solution

The third proportional to 154,164 and 230,202 is: 343,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,164 : 230,202 = 230,202 : x
  2. Step 2: Convert to fraction form
    154,164/230,202 = 230,202/x
  3. Step 3: Cross multiply
    154,164x = 230,202 × 230,202
  4. Step 4: Simplify right side
    154,164x = 52,992,960,804
  5. Step 5: Solve for x
    x = 52,992,960,804/154,164
  6. Step 6: Final answer
    x = 343,744.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.