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Finding the Third Proportional to 124,432 and 264,224

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Solution

The third proportional to 124,432 and 264,224 is: 561,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,432 : 264,224 = 264,224 : x
  2. Step 2: Convert to fraction form
    124,432/264,224 = 264,224/x
  3. Step 3: Cross multiply
    124,432x = 264,224 × 264,224
  4. Step 4: Simplify right side
    124,432x = 69,814,322,176
  5. Step 5: Solve for x
    x = 69,814,322,176/124,432
  6. Step 6: Final answer
    x = 561,064.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.