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Finding the Third Proportional to 157,815 and 238,360.50

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Solution

The third proportional to 157,815 and 238,360.50 is: 360,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815 : 238,360.50 = 238,360.50 : x
  2. Step 2: Convert to fraction form
    157,815/238,360.50 = 238,360.50/x
  3. Step 3: Cross multiply
    157,815x = 238,360.50 × 238,360.50
  4. Step 4: Simplify right side
    157,815x = 56,815,727,960.25
  5. Step 5: Solve for x
    x = 56,815,727,960.25/157,815
  6. Step 6: Final answer
    x = 360,014.75

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