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Finding the Third Proportional to 171,841.50 and 377,302.50

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Solution

The third proportional to 171,841.50 and 377,302.50 is: 828,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,841.50 : 377,302.50 = 377,302.50 : x
  2. Step 2: Convert to fraction form
    171,841.50/377,302.50 = 377,302.50/x
  3. Step 3: Cross multiply
    171,841.50x = 377,302.50 × 377,302.50
  4. Step 4: Simplify right side
    171,841.50x = 142,357,176,506.25
  5. Step 5: Solve for x
    x = 142,357,176,506.25/171,841.50
  6. Step 6: Final answer
    x = 828,421.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.