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Finding the Third Proportional to 146,143 and 314,042.25

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Solution

The third proportional to 146,143 and 314,042.25 is: 674,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143 : 314,042.25 = 314,042.25 : x
  2. Step 2: Convert to fraction form
    146,143/314,042.25 = 314,042.25/x
  3. Step 3: Cross multiply
    146,143x = 314,042.25 × 314,042.25
  4. Step 4: Simplify right side
    146,143x = 98,622,534,785.06
  5. Step 5: Solve for x
    x = 98,622,534,785.06/146,143
  6. Step 6: Final answer
    x = 674,835.84

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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.