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Finding the Third Proportional to 157,215 and 243,625.50

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Solution

The third proportional to 157,215 and 243,625.50 is: 377,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215 : 243,625.50 = 243,625.50 : x
  2. Step 2: Convert to fraction form
    157,215/243,625.50 = 243,625.50/x
  3. Step 3: Cross multiply
    157,215x = 243,625.50 × 243,625.50
  4. Step 4: Simplify right side
    157,215x = 59,353,384,250.25
  5. Step 5: Solve for x
    x = 59,353,384,250.25/157,215
  6. Step 6: Final answer
    x = 377,530.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.