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Finding the Third Proportional to 157,675.50 and 238,153.50

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Solution

The third proportional to 157,675.50 and 238,153.50 is: 359,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,675.50 : 238,153.50 = 238,153.50 : x
  2. Step 2: Convert to fraction form
    157,675.50/238,153.50 = 238,153.50/x
  3. Step 3: Cross multiply
    157,675.50x = 238,153.50 × 238,153.50
  4. Step 4: Simplify right side
    157,675.50x = 56,717,089,562.25
  5. Step 5: Solve for x
    x = 56,717,089,562.25/157,675.50
  6. Step 6: Final answer
    x = 359,707.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.