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Finding the Third Proportional to 148,220.51 and 329,602.92

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Solution

The third proportional to 148,220.51 and 329,602.92 is: 732,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,220.51 : 329,602.92 = 329,602.92 : x
  2. Step 2: Convert to fraction form
    148,220.51/329,602.92 = 329,602.92/x
  3. Step 3: Cross multiply
    148,220.51x = 329,602.92 × 329,602.92
  4. Step 4: Simplify right side
    148,220.51x = 108,638,086,108.54
  5. Step 5: Solve for x
    x = 108,638,086,108.54/148,220.51
  6. Step 6: Final answer
    x = 732,949.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.