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Finding the Third Proportional to 128,319.19 and 264,775.08

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Solution

The third proportional to 128,319.19 and 264,775.08 is: 546,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,319.19 : 264,775.08 = 264,775.08 : x
  2. Step 2: Convert to fraction form
    128,319.19/264,775.08 = 264,775.08/x
  3. Step 3: Cross multiply
    128,319.19x = 264,775.08 × 264,775.08
  4. Step 4: Simplify right side
    128,319.19x = 70,105,841,996.10
  5. Step 5: Solve for x
    x = 70,105,841,996.10/128,319.19
  6. Step 6: Final answer
    x = 546,339.51

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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.