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Finding the Third Proportional to 154,549.75 and 329,513.50

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Solution

The third proportional to 154,549.75 and 329,513.50 is: 702,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,549.75 : 329,513.50 = 329,513.50 : x
  2. Step 2: Convert to fraction form
    154,549.75/329,513.50 = 329,513.50/x
  3. Step 3: Cross multiply
    154,549.75x = 329,513.50 × 329,513.50
  4. Step 4: Simplify right side
    154,549.75x = 108,579,146,682.25
  5. Step 5: Solve for x
    x = 108,579,146,682.25/154,549.75
  6. Step 6: Final answer
    x = 702,551.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.