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Finding the Third Proportional to 153,738 and 325,060

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Solution

The third proportional to 153,738 and 325,060 is: 687,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,738 : 325,060 = 325,060 : x
  2. Step 2: Convert to fraction form
    153,738/325,060 = 325,060/x
  3. Step 3: Cross multiply
    153,738x = 325,060 × 325,060
  4. Step 4: Simplify right side
    153,738x = 105,664,003,600
  5. Step 5: Solve for x
    x = 105,664,003,600/153,738
  6. Step 6: Final answer
    x = 687,299.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.