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Finding the Third Proportional to 175,055 and 277,892

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Solution

The third proportional to 175,055 and 277,892 is: 441,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,055 : 277,892 = 277,892 : x
  2. Step 2: Convert to fraction form
    175,055/277,892 = 277,892/x
  3. Step 3: Cross multiply
    175,055x = 277,892 × 277,892
  4. Step 4: Simplify right side
    175,055x = 77,223,963,664
  5. Step 5: Solve for x
    x = 77,223,963,664/175,055
  6. Step 6: Final answer
    x = 441,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.