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Finding the Third Proportional to 230,712.75 and 349,143.75

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Solution

The third proportional to 230,712.75 and 349,143.75 is: 528,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,712.75 : 349,143.75 = 349,143.75 : x
  2. Step 2: Convert to fraction form
    230,712.75/349,143.75 = 349,143.75/x
  3. Step 3: Cross multiply
    230,712.75x = 349,143.75 × 349,143.75
  4. Step 4: Simplify right side
    230,712.75x = 121,901,358,164.06
  5. Step 5: Solve for x
    x = 121,901,358,164.06/230,712.75
  6. Step 6: Final answer
    x = 528,368.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.