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Finding the Third Proportional to 123,146.16 and 265,289.34

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Solution

The third proportional to 123,146.16 and 265,289.34 is: 571,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,146.16 : 265,289.34 = 265,289.34 : x
  2. Step 2: Convert to fraction form
    123,146.16/265,289.34 = 265,289.34/x
  3. Step 3: Cross multiply
    123,146.16x = 265,289.34 × 265,289.34
  4. Step 4: Simplify right side
    123,146.16x = 70,378,435,907.31
  5. Step 5: Solve for x
    x = 70,378,435,907.31/123,146.16
  6. Step 6: Final answer
    x = 571,503.31

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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.