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Finding the Third Proportional to 157,830 and 236,927.75

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Solution

The third proportional to 157,830 and 236,927.75 is: 355,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830 : 236,927.75 = 236,927.75 : x
  2. Step 2: Convert to fraction form
    157,830/236,927.75 = 236,927.75/x
  3. Step 3: Cross multiply
    157,830x = 236,927.75 × 236,927.75
  4. Step 4: Simplify right side
    157,830x = 56,134,758,720.06
  5. Step 5: Solve for x
    x = 56,134,758,720.06/157,830
  6. Step 6: Final answer
    x = 355,665.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.