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Finding the Third Proportional to 229,424 and 336,612

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Solution

The third proportional to 229,424 and 336,612 is: 493,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,424 : 336,612 = 336,612 : x
  2. Step 2: Convert to fraction form
    229,424/336,612 = 336,612/x
  3. Step 3: Cross multiply
    229,424x = 336,612 × 336,612
  4. Step 4: Simplify right side
    229,424x = 113,307,638,544
  5. Step 5: Solve for x
    x = 113,307,638,544/229,424
  6. Step 6: Final answer
    x = 493,878.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.