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Finding the Third Proportional to 157,760 and 236,712

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Solution

The third proportional to 157,760 and 236,712 is: 355,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,760 : 236,712 = 236,712 : x
  2. Step 2: Convert to fraction form
    157,760/236,712 = 236,712/x
  3. Step 3: Cross multiply
    157,760x = 236,712 × 236,712
  4. Step 4: Simplify right side
    157,760x = 56,032,570,944
  5. Step 5: Solve for x
    x = 56,032,570,944/157,760
  6. Step 6: Final answer
    x = 355,176.03

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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.