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Finding the Third Proportional to 146,157 and 314,873

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Solution

The third proportional to 146,157 and 314,873 is: 678,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,157 : 314,873 = 314,873 : x
  2. Step 2: Convert to fraction form
    146,157/314,873 = 314,873/x
  3. Step 3: Cross multiply
    146,157x = 314,873 × 314,873
  4. Step 4: Simplify right side
    146,157x = 99,145,006,129
  5. Step 5: Solve for x
    x = 99,145,006,129/146,157
  6. Step 6: Final answer
    x = 678,345.93

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Why These Related Problems?

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