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Finding the Third Proportional to 211,457 and 288,017.50

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Solution

The third proportional to 211,457 and 288,017.50 is: 392,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,457 : 288,017.50 = 288,017.50 : x
  2. Step 2: Convert to fraction form
    211,457/288,017.50 = 288,017.50/x
  3. Step 3: Cross multiply
    211,457x = 288,017.50 × 288,017.50
  4. Step 4: Simplify right side
    211,457x = 82,954,080,306.25
  5. Step 5: Solve for x
    x = 82,954,080,306.25/211,457
  6. Step 6: Final answer
    x = 392,297.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.