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Finding the Third Proportional to 153,505 and 322,915

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Solution

The third proportional to 153,505 and 322,915 is: 679,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,505 : 322,915 = 322,915 : x
  2. Step 2: Convert to fraction form
    153,505/322,915 = 322,915/x
  3. Step 3: Cross multiply
    153,505x = 322,915 × 322,915
  4. Step 4: Simplify right side
    153,505x = 104,274,097,225
  5. Step 5: Solve for x
    x = 104,274,097,225/153,505
  6. Step 6: Final answer
    x = 679,287.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.