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Finding the Third Proportional to 233,848.50 and 342,024.75

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Solution

The third proportional to 233,848.50 and 342,024.75 is: 500,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,848.50 : 342,024.75 = 342,024.75 : x
  2. Step 2: Convert to fraction form
    233,848.50/342,024.75 = 342,024.75/x
  3. Step 3: Cross multiply
    233,848.50x = 342,024.75 × 342,024.75
  4. Step 4: Simplify right side
    233,848.50x = 116,980,929,612.56
  5. Step 5: Solve for x
    x = 116,980,929,612.56/233,848.50
  6. Step 6: Final answer
    x = 500,242.38

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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.