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Finding the Third Proportional to 233,124.75 and 342,009

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Solution

The third proportional to 233,124.75 and 342,009 is: 501,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,124.75 : 342,009 = 342,009 : x
  2. Step 2: Convert to fraction form
    233,124.75/342,009 = 342,009/x
  3. Step 3: Cross multiply
    233,124.75x = 342,009 × 342,009
  4. Step 4: Simplify right side
    233,124.75x = 116,970,156,081
  5. Step 5: Solve for x
    x = 116,970,156,081/233,124.75
  6. Step 6: Final answer
    x = 501,749.20

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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.