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Finding the Third Proportional to 123,242.63 and 265,165.88

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Solution

The third proportional to 123,242.63 and 265,165.88 is: 570,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,242.63 : 265,165.88 = 265,165.88 : x
  2. Step 2: Convert to fraction form
    123,242.63/265,165.88 = 265,165.88/x
  3. Step 3: Cross multiply
    123,242.63x = 265,165.88 × 265,165.88
  4. Step 4: Simplify right side
    123,242.63x = 70,312,941,264.52
  5. Step 5: Solve for x
    x = 70,312,941,264.52/123,242.63
  6. Step 6: Final answer
    x = 570,524.53

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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.