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Finding the Third Proportional to 235,216 and 517,088

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Solution

The third proportional to 235,216 and 517,088 is: 1,136,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,216 : 517,088 = 517,088 : x
  2. Step 2: Convert to fraction form
    235,216/517,088 = 517,088/x
  3. Step 3: Cross multiply
    235,216x = 517,088 × 517,088
  4. Step 4: Simplify right side
    235,216x = 267,379,999,744
  5. Step 5: Solve for x
    x = 267,379,999,744/235,216
  6. Step 6: Final answer
    x = 1,136,742.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.