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Finding the Third Proportional to 206,970 and 312,074

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Solution

The third proportional to 206,970 and 312,074 is: 470,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970 : 312,074 = 312,074 : x
  2. Step 2: Convert to fraction form
    206,970/312,074 = 312,074/x
  3. Step 3: Cross multiply
    206,970x = 312,074 × 312,074
  4. Step 4: Simplify right side
    206,970x = 97,390,181,476
  5. Step 5: Solve for x
    x = 97,390,181,476/206,970
  6. Step 6: Final answer
    x = 470,552.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.