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Finding the Third Proportional to 230,184 and 492,342

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Solution

The third proportional to 230,184 and 492,342 is: 1,053,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,184 : 492,342 = 492,342 : x
  2. Step 2: Convert to fraction form
    230,184/492,342 = 492,342/x
  3. Step 3: Cross multiply
    230,184x = 492,342 × 492,342
  4. Step 4: Simplify right side
    230,184x = 242,400,644,964
  5. Step 5: Solve for x
    x = 242,400,644,964/230,184
  6. Step 6: Final answer
    x = 1,053,073.39

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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.