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Finding the Third Proportional to 254,086.50 and 536,361

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Solution

The third proportional to 254,086.50 and 536,361 is: 1,132,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,086.50 : 536,361 = 536,361 : x
  2. Step 2: Convert to fraction form
    254,086.50/536,361 = 536,361/x
  3. Step 3: Cross multiply
    254,086.50x = 536,361 × 536,361
  4. Step 4: Simplify right side
    254,086.50x = 287,683,122,321
  5. Step 5: Solve for x
    x = 287,683,122,321/254,086.50
  6. Step 6: Final answer
    x = 1,132,225.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.