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Finding the Third Proportional to 123,004.50 and 266,411

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Solution

The third proportional to 123,004.50 and 266,411 is: 577,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,004.50 : 266,411 = 266,411 : x
  2. Step 2: Convert to fraction form
    123,004.50/266,411 = 266,411/x
  3. Step 3: Cross multiply
    123,004.50x = 266,411 × 266,411
  4. Step 4: Simplify right side
    123,004.50x = 70,974,820,921
  5. Step 5: Solve for x
    x = 70,974,820,921/123,004.50
  6. Step 6: Final answer
    x = 577,009.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.