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Finding the Third Proportional to 123,415 and 266,024

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Solution

The third proportional to 123,415 and 266,024 is: 573,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415 : 266,024 = 266,024 : x
  2. Step 2: Convert to fraction form
    123,415/266,024 = 266,024/x
  3. Step 3: Cross multiply
    123,415x = 266,024 × 266,024
  4. Step 4: Simplify right side
    123,415x = 70,768,768,576
  5. Step 5: Solve for x
    x = 70,768,768,576/123,415
  6. Step 6: Final answer
    x = 573,421.13

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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.