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Finding the Third Proportional to 123,155.63 and 264,729

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Solution

The third proportional to 123,155.63 and 264,729 is: 569,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,155.63 : 264,729 = 264,729 : x
  2. Step 2: Convert to fraction form
    123,155.63/264,729 = 264,729/x
  3. Step 3: Cross multiply
    123,155.63x = 264,729 × 264,729
  4. Step 4: Simplify right side
    123,155.63x = 70,081,443,441
  5. Step 5: Solve for x
    x = 70,081,443,441/123,155.63
  6. Step 6: Final answer
    x = 569,047.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.