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Finding the Third Proportional to 232,509 and 329,091

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Solution

The third proportional to 232,509 and 329,091 is: 465,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,509 : 329,091 = 329,091 : x
  2. Step 2: Convert to fraction form
    232,509/329,091 = 329,091/x
  3. Step 3: Cross multiply
    232,509x = 329,091 × 329,091
  4. Step 4: Simplify right side
    232,509x = 108,300,886,281
  5. Step 5: Solve for x
    x = 108,300,886,281/232,509
  6. Step 6: Final answer
    x = 465,792.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.