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Finding the Third Proportional to 232,128 and 368,928

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Solution

The third proportional to 232,128 and 368,928 is: 586,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,128 : 368,928 = 368,928 : x
  2. Step 2: Convert to fraction form
    232,128/368,928 = 368,928/x
  3. Step 3: Cross multiply
    232,128x = 368,928 × 368,928
  4. Step 4: Simplify right side
    232,128x = 136,107,869,184
  5. Step 5: Solve for x
    x = 136,107,869,184/232,128
  6. Step 6: Final answer
    x = 586,348.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.