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Finding the Third Proportional to 258,534 and 372,360

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Solution

The third proportional to 258,534 and 372,360 is: 536,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,534 : 372,360 = 372,360 : x
  2. Step 2: Convert to fraction form
    258,534/372,360 = 372,360/x
  3. Step 3: Cross multiply
    258,534x = 372,360 × 372,360
  4. Step 4: Simplify right side
    258,534x = 138,651,969,600
  5. Step 5: Solve for x
    x = 138,651,969,600/258,534
  6. Step 6: Final answer
    x = 536,300.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.