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Finding the Third Proportional to 206,973 and 316,417.50

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Solution

The third proportional to 206,973 and 316,417.50 is: 483,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,973 : 316,417.50 = 316,417.50 : x
  2. Step 2: Convert to fraction form
    206,973/316,417.50 = 316,417.50/x
  3. Step 3: Cross multiply
    206,973x = 316,417.50 × 316,417.50
  4. Step 4: Simplify right side
    206,973x = 100,120,034,306.25
  5. Step 5: Solve for x
    x = 100,120,034,306.25/206,973
  6. Step 6: Final answer
    x = 483,734.76

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