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Finding the Third Proportional to 230,592 and 294,642

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Solution

The third proportional to 230,592 and 294,642 is: 376,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,592 : 294,642 = 294,642 : x
  2. Step 2: Convert to fraction form
    230,592/294,642 = 294,642/x
  3. Step 3: Cross multiply
    230,592x = 294,642 × 294,642
  4. Step 4: Simplify right side
    230,592x = 86,813,908,164
  5. Step 5: Solve for x
    x = 86,813,908,164/230,592
  6. Step 6: Final answer
    x = 376,482.74

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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.