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Finding the Third Proportional to 123,922.41 and 267,527.81

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Solution

The third proportional to 123,922.41 and 267,527.81 is: 577,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,922.41 : 267,527.81 = 267,527.81 : x
  2. Step 2: Convert to fraction form
    123,922.41/267,527.81 = 267,527.81/x
  3. Step 3: Cross multiply
    123,922.41x = 267,527.81 × 267,527.81
  4. Step 4: Simplify right side
    123,922.41x = 71,571,130,461.04
  5. Step 5: Solve for x
    x = 71,571,130,461.04/123,922.41
  6. Step 6: Final answer
    x = 577,547.94

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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.