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Finding the Third Proportional to 175,312 and 284,824

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Solution

The third proportional to 175,312 and 284,824 is: 462,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,312 : 284,824 = 284,824 : x
  2. Step 2: Convert to fraction form
    175,312/284,824 = 284,824/x
  3. Step 3: Cross multiply
    175,312x = 284,824 × 284,824
  4. Step 4: Simplify right side
    175,312x = 81,124,710,976
  5. Step 5: Solve for x
    x = 81,124,710,976/175,312
  6. Step 6: Final answer
    x = 462,744.77

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.