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Finding the Third Proportional to 148,218.75 and 329,598

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Solution

The third proportional to 148,218.75 and 329,598 is: 732,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,218.75 : 329,598 = 329,598 : x
  2. Step 2: Convert to fraction form
    148,218.75/329,598 = 329,598/x
  3. Step 3: Cross multiply
    148,218.75x = 329,598 × 329,598
  4. Step 4: Simplify right side
    148,218.75x = 108,634,841,604
  5. Step 5: Solve for x
    x = 108,634,841,604/148,218.75
  6. Step 6: Final answer
    x = 732,935.89

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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.