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Finding the Third Proportional to 230,173 and 492,328

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Solution

The third proportional to 230,173 and 492,328 is: 1,053,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,173 : 492,328 = 492,328 : x
  2. Step 2: Convert to fraction form
    230,173/492,328 = 492,328/x
  3. Step 3: Cross multiply
    230,173x = 492,328 × 492,328
  4. Step 4: Simplify right side
    230,173x = 242,386,859,584
  5. Step 5: Solve for x
    x = 242,386,859,584/230,173
  6. Step 6: Final answer
    x = 1,053,063.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.