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Finding the Third Proportional to 134,206.50 and 292,530

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Solution

The third proportional to 134,206.50 and 292,530 is: 637,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,206.50 : 292,530 = 292,530 : x
  2. Step 2: Convert to fraction form
    134,206.50/292,530 = 292,530/x
  3. Step 3: Cross multiply
    134,206.50x = 292,530 × 292,530
  4. Step 4: Simplify right side
    134,206.50x = 85,573,800,900
  5. Step 5: Solve for x
    x = 85,573,800,900/134,206.50
  6. Step 6: Final answer
    x = 637,627.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.