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Finding the Third Proportional to 252,438.75 and 540,345

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Solution

The third proportional to 252,438.75 and 540,345 is: 1,156,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,438.75 : 540,345 = 540,345 : x
  2. Step 2: Convert to fraction form
    252,438.75/540,345 = 540,345/x
  3. Step 3: Cross multiply
    252,438.75x = 540,345 × 540,345
  4. Step 4: Simplify right side
    252,438.75x = 291,972,719,025
  5. Step 5: Solve for x
    x = 291,972,719,025/252,438.75
  6. Step 6: Final answer
    x = 1,156,608.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.