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Finding the Third Proportional to 146,051 and 310,935

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Solution

The third proportional to 146,051 and 310,935 is: 661,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,051 : 310,935 = 310,935 : x
  2. Step 2: Convert to fraction form
    146,051/310,935 = 310,935/x
  3. Step 3: Cross multiply
    146,051x = 310,935 × 310,935
  4. Step 4: Simplify right side
    146,051x = 96,680,574,225
  5. Step 5: Solve for x
    x = 96,680,574,225/146,051
  6. Step 6: Final answer
    x = 661,964.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.