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Finding the Third Proportional to 147,732 and 325,032

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Solution

The third proportional to 147,732 and 325,032 is: 715,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,732 : 325,032 = 325,032 : x
  2. Step 2: Convert to fraction form
    147,732/325,032 = 325,032/x
  3. Step 3: Cross multiply
    147,732x = 325,032 × 325,032
  4. Step 4: Simplify right side
    147,732x = 105,645,801,024
  5. Step 5: Solve for x
    x = 105,645,801,024/147,732
  6. Step 6: Final answer
    x = 715,117.92

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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.