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Finding the Third Proportional to 233,128.50 and 348,249

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Solution

The third proportional to 233,128.50 and 348,249 is: 520,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,128.50 : 348,249 = 348,249 : x
  2. Step 2: Convert to fraction form
    233,128.50/348,249 = 348,249/x
  3. Step 3: Cross multiply
    233,128.50x = 348,249 × 348,249
  4. Step 4: Simplify right side
    233,128.50x = 121,277,366,001
  5. Step 5: Solve for x
    x = 121,277,366,001/233,128.50
  6. Step 6: Final answer
    x = 520,216.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.