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Finding the Third Proportional to 174,828 and 375,141

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Solution

The third proportional to 174,828 and 375,141 is: 804,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,828 : 375,141 = 375,141 : x
  2. Step 2: Convert to fraction form
    174,828/375,141 = 375,141/x
  3. Step 3: Cross multiply
    174,828x = 375,141 × 375,141
  4. Step 4: Simplify right side
    174,828x = 140,730,769,881
  5. Step 5: Solve for x
    x = 140,730,769,881/174,828
  6. Step 6: Final answer
    x = 804,967.00

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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.