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Finding the Third Proportional to 153,804 and 330,608

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Solution

The third proportional to 153,804 and 330,608 is: 710,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,804 : 330,608 = 330,608 : x
  2. Step 2: Convert to fraction form
    153,804/330,608 = 330,608/x
  3. Step 3: Cross multiply
    153,804x = 330,608 × 330,608
  4. Step 4: Simplify right side
    153,804x = 109,301,649,664
  5. Step 5: Solve for x
    x = 109,301,649,664/153,804
  6. Step 6: Final answer
    x = 710,655.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.