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Finding the Third Proportional to 147,760 and 325,040

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Solution

The third proportional to 147,760 and 325,040 is: 715,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,760 : 325,040 = 325,040 : x
  2. Step 2: Convert to fraction form
    147,760/325,040 = 325,040/x
  3. Step 3: Cross multiply
    147,760x = 325,040 × 325,040
  4. Step 4: Simplify right side
    147,760x = 105,651,001,600
  5. Step 5: Solve for x
    x = 105,651,001,600/147,760
  6. Step 6: Final answer
    x = 715,017.61

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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.