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Finding the Third Proportional to 230,572 and 337,038

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Solution

The third proportional to 230,572 and 337,038 is: 492,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,572 : 337,038 = 337,038 : x
  2. Step 2: Convert to fraction form
    230,572/337,038 = 337,038/x
  3. Step 3: Cross multiply
    230,572x = 337,038 × 337,038
  4. Step 4: Simplify right side
    230,572x = 113,594,613,444
  5. Step 5: Solve for x
    x = 113,594,613,444/230,572
  6. Step 6: Final answer
    x = 492,664.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.