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Finding the Third Proportional to 230,046 and 337,332

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Solution

The third proportional to 230,046 and 337,332 is: 494,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,046 : 337,332 = 337,332 : x
  2. Step 2: Convert to fraction form
    230,046/337,332 = 337,332/x
  3. Step 3: Cross multiply
    230,046x = 337,332 × 337,332
  4. Step 4: Simplify right side
    230,046x = 113,792,878,224
  5. Step 5: Solve for x
    x = 113,792,878,224/230,046
  6. Step 6: Final answer
    x = 494,652.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.