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Finding the Third Proportional to 124,214.63 and 268,271.44

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Solution

The third proportional to 124,214.63 and 268,271.44 is: 579,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,214.63 : 268,271.44 = 268,271.44 : x
  2. Step 2: Convert to fraction form
    124,214.63/268,271.44 = 268,271.44/x
  3. Step 3: Cross multiply
    124,214.63x = 268,271.44 × 268,271.44
  4. Step 4: Simplify right side
    124,214.63x = 71,969,564,178.32
  5. Step 5: Solve for x
    x = 71,969,564,178.32/124,214.63
  6. Step 6: Final answer
    x = 579,396.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.