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Finding the Third Proportional to 189,312 and 296,832

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Solution

The third proportional to 189,312 and 296,832 is: 465,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,312 : 296,832 = 296,832 : x
  2. Step 2: Convert to fraction form
    189,312/296,832 = 296,832/x
  3. Step 3: Cross multiply
    189,312x = 296,832 × 296,832
  4. Step 4: Simplify right side
    189,312x = 88,109,236,224
  5. Step 5: Solve for x
    x = 88,109,236,224/189,312
  6. Step 6: Final answer
    x = 465,418.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.