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Finding the Third Proportional to 172,448 and 266,056

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Solution

The third proportional to 172,448 and 266,056 is: 410,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,448 : 266,056 = 266,056 : x
  2. Step 2: Convert to fraction form
    172,448/266,056 = 266,056/x
  3. Step 3: Cross multiply
    172,448x = 266,056 × 266,056
  4. Step 4: Simplify right side
    172,448x = 70,785,795,136
  5. Step 5: Solve for x
    x = 70,785,795,136/172,448
  6. Step 6: Final answer
    x = 410,476.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.