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Finding the Third Proportional to 148,032 and 325,587

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Solution

The third proportional to 148,032 and 325,587 is: 716,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,032 : 325,587 = 325,587 : x
  2. Step 2: Convert to fraction form
    148,032/325,587 = 325,587/x
  3. Step 3: Cross multiply
    148,032x = 325,587 × 325,587
  4. Step 4: Simplify right side
    148,032x = 106,006,894,569
  5. Step 5: Solve for x
    x = 106,006,894,569/148,032
  6. Step 6: Final answer
    x = 716,107.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.