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Finding the Third Proportional to 176,363 and 266,135

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Solution

The third proportional to 176,363 and 266,135 is: 401,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,363 : 266,135 = 266,135 : x
  2. Step 2: Convert to fraction form
    176,363/266,135 = 266,135/x
  3. Step 3: Cross multiply
    176,363x = 266,135 × 266,135
  4. Step 4: Simplify right side
    176,363x = 70,827,838,225
  5. Step 5: Solve for x
    x = 70,827,838,225/176,363
  6. Step 6: Final answer
    x = 401,602.59

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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.