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Finding the Third Proportional to 252,648.75 and 369,549.75

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Solution

The third proportional to 252,648.75 and 369,549.75 is: 540,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,648.75 : 369,549.75 = 369,549.75 : x
  2. Step 2: Convert to fraction form
    252,648.75/369,549.75 = 369,549.75/x
  3. Step 3: Cross multiply
    252,648.75x = 369,549.75 × 369,549.75
  4. Step 4: Simplify right side
    252,648.75x = 136,567,017,725.06
  5. Step 5: Solve for x
    x = 136,567,017,725.06/252,648.75
  6. Step 6: Final answer
    x = 540,541.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.