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Finding the Third Proportional to 178,000.88 and 237,777.19

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Solution

The third proportional to 178,000.88 and 237,777.19 is: 317,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,000.88 : 237,777.19 = 237,777.19 : x
  2. Step 2: Convert to fraction form
    178,000.88/237,777.19 = 237,777.19/x
  3. Step 3: Cross multiply
    178,000.88x = 237,777.19 × 237,777.19
  4. Step 4: Simplify right side
    178,000.88x = 56,537,990,895.41
  5. Step 5: Solve for x
    x = 56,537,990,895.41/178,000.88
  6. Step 6: Final answer
    x = 317,627.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.