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Finding the Third Proportional to 176,364 and 266,136

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Solution

The third proportional to 176,364 and 266,136 is: 401,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 266,136 = 266,136 : x
  2. Step 2: Convert to fraction form
    176,364/266,136 = 266,136/x
  3. Step 3: Cross multiply
    176,364x = 266,136 × 266,136
  4. Step 4: Simplify right side
    176,364x = 70,828,370,496
  5. Step 5: Solve for x
    x = 70,828,370,496/176,364
  6. Step 6: Final answer
    x = 401,603.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.