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Finding the Third Proportional to 123,386.63 and 265,499.44

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Solution

The third proportional to 123,386.63 and 265,499.44 is: 571,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,386.63 : 265,499.44 = 265,499.44 : x
  2. Step 2: Convert to fraction form
    123,386.63/265,499.44 = 265,499.44/x
  3. Step 3: Cross multiply
    123,386.63x = 265,499.44 × 265,499.44
  4. Step 4: Simplify right side
    123,386.63x = 70,489,951,312.82
  5. Step 5: Solve for x
    x = 70,489,951,312.82/123,386.63
  6. Step 6: Final answer
    x = 571,293.29

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Why These Related Problems?

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