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Finding the Third Proportional to 206,808.19 and 316,226.53

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Solution

The third proportional to 206,808.19 and 316,226.53 is: 483,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808.19 : 316,226.53 = 316,226.53 : x
  2. Step 2: Convert to fraction form
    206,808.19/316,226.53 = 316,226.53/x
  3. Step 3: Cross multiply
    206,808.19x = 316,226.53 × 316,226.53
  4. Step 4: Simplify right side
    206,808.19x = 99,999,219,066.41
  5. Step 5: Solve for x
    x = 99,999,219,066.41/206,808.19
  6. Step 6: Final answer
    x = 483,536.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.