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Finding the Third Proportional to 216,157 and 345,315

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Solution

The third proportional to 216,157 and 345,315 is: 551,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,157 : 345,315 = 345,315 : x
  2. Step 2: Convert to fraction form
    216,157/345,315 = 345,315/x
  3. Step 3: Cross multiply
    216,157x = 345,315 × 345,315
  4. Step 4: Simplify right side
    216,157x = 119,242,449,225
  5. Step 5: Solve for x
    x = 119,242,449,225/216,157
  6. Step 6: Final answer
    x = 551,647.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.