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Finding the Third Proportional to 248,652 and 381,565.50

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Solution

The third proportional to 248,652 and 381,565.50 is: 585,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,652 : 381,565.50 = 381,565.50 : x
  2. Step 2: Convert to fraction form
    248,652/381,565.50 = 381,565.50/x
  3. Step 3: Cross multiply
    248,652x = 381,565.50 × 381,565.50
  4. Step 4: Simplify right side
    248,652x = 145,592,230,790.25
  5. Step 5: Solve for x
    x = 145,592,230,790.25/248,652
  6. Step 6: Final answer
    x = 585,526.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.