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Finding the Third Proportional to 178,416.75 and 243,014.50

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Solution

The third proportional to 178,416.75 and 243,014.50 is: 331,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416.75 : 243,014.50 = 243,014.50 : x
  2. Step 2: Convert to fraction form
    178,416.75/243,014.50 = 243,014.50/x
  3. Step 3: Cross multiply
    178,416.75x = 243,014.50 × 243,014.50
  4. Step 4: Simplify right side
    178,416.75x = 59,056,047,210.25
  5. Step 5: Solve for x
    x = 59,056,047,210.25/178,416.75
  6. Step 6: Final answer
    x = 331,000.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.