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Finding the Third Proportional to 123,015 and 266,455.50

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Solution

The third proportional to 123,015 and 266,455.50 is: 577,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,015 : 266,455.50 = 266,455.50 : x
  2. Step 2: Convert to fraction form
    123,015/266,455.50 = 266,455.50/x
  3. Step 3: Cross multiply
    123,015x = 266,455.50 × 266,455.50
  4. Step 4: Simplify right side
    123,015x = 70,998,533,480.25
  5. Step 5: Solve for x
    x = 70,998,533,480.25/123,015
  6. Step 6: Final answer
    x = 577,153.46

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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.