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Finding the Third Proportional to 123,356 and 176,270

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Solution

The third proportional to 123,356 and 176,270 is: 251,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,356 : 176,270 = 176,270 : x
  2. Step 2: Convert to fraction form
    123,356/176,270 = 176,270/x
  3. Step 3: Cross multiply
    123,356x = 176,270 × 176,270
  4. Step 4: Simplify right side
    123,356x = 31,071,112,900
  5. Step 5: Solve for x
    x = 31,071,112,900/123,356
  6. Step 6: Final answer
    x = 251,881.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.