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Finding the Third Proportional to 128,305.50 and 264,792

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Solution

The third proportional to 128,305.50 and 264,792 is: 546,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,305.50 : 264,792 = 264,792 : x
  2. Step 2: Convert to fraction form
    128,305.50/264,792 = 264,792/x
  3. Step 3: Cross multiply
    128,305.50x = 264,792 × 264,792
  4. Step 4: Simplify right side
    128,305.50x = 70,114,803,264
  5. Step 5: Solve for x
    x = 70,114,803,264/128,305.50
  6. Step 6: Final answer
    x = 546,467.64

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.