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Finding the Third Proportional to 230,169 and 492,320

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Solution

The third proportional to 230,169 and 492,320 is: 1,053,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,169 : 492,320 = 492,320 : x
  2. Step 2: Convert to fraction form
    230,169/492,320 = 492,320/x
  3. Step 3: Cross multiply
    230,169x = 492,320 × 492,320
  4. Step 4: Simplify right side
    230,169x = 242,378,982,400
  5. Step 5: Solve for x
    x = 242,378,982,400/230,169
  6. Step 6: Final answer
    x = 1,053,047.90

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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.