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Finding the Third Proportional to 230,597 and 294,649

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Solution

The third proportional to 230,597 and 294,649 is: 376,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,597 : 294,649 = 294,649 : x
  2. Step 2: Convert to fraction form
    230,597/294,649 = 294,649/x
  3. Step 3: Cross multiply
    230,597x = 294,649 × 294,649
  4. Step 4: Simplify right side
    230,597x = 86,818,033,201
  5. Step 5: Solve for x
    x = 86,818,033,201/230,597
  6. Step 6: Final answer
    x = 376,492.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.