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Finding the Third Proportional to 115,584 and 252,048

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Solution

The third proportional to 115,584 and 252,048 is: 549,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,584 : 252,048 = 252,048 : x
  2. Step 2: Convert to fraction form
    115,584/252,048 = 252,048/x
  3. Step 3: Cross multiply
    115,584x = 252,048 × 252,048
  4. Step 4: Simplify right side
    115,584x = 63,528,194,304
  5. Step 5: Solve for x
    x = 63,528,194,304/115,584
  6. Step 6: Final answer
    x = 549,627.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.