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Finding the Third Proportional to 232,255 and 358,954

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Solution

The third proportional to 232,255 and 358,954 is: 554,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,255 : 358,954 = 358,954 : x
  2. Step 2: Convert to fraction form
    232,255/358,954 = 358,954/x
  3. Step 3: Cross multiply
    232,255x = 358,954 × 358,954
  4. Step 4: Simplify right side
    232,255x = 128,847,974,116
  5. Step 5: Solve for x
    x = 128,847,974,116/232,255
  6. Step 6: Final answer
    x = 554,769.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.