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Finding the Third Proportional to 175,152 and 277,388

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Solution

The third proportional to 175,152 and 277,388 is: 439,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,152 : 277,388 = 277,388 : x
  2. Step 2: Convert to fraction form
    175,152/277,388 = 277,388/x
  3. Step 3: Cross multiply
    175,152x = 277,388 × 277,388
  4. Step 4: Simplify right side
    175,152x = 76,944,102,544
  5. Step 5: Solve for x
    x = 76,944,102,544/175,152
  6. Step 6: Final answer
    x = 439,299.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.