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Finding the Third Proportional to 157,539 and 233,835

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Solution

The third proportional to 157,539 and 233,835 is: 347,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,539 : 233,835 = 233,835 : x
  2. Step 2: Convert to fraction form
    157,539/233,835 = 233,835/x
  3. Step 3: Cross multiply
    157,539x = 233,835 × 233,835
  4. Step 4: Simplify right side
    157,539x = 54,678,807,225
  5. Step 5: Solve for x
    x = 54,678,807,225/157,539
  6. Step 6: Final answer
    x = 347,081.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.