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Finding the Third Proportional to 175,036.50 and 384,111

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Solution

The third proportional to 175,036.50 and 384,111 is: 842,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,036.50 : 384,111 = 384,111 : x
  2. Step 2: Convert to fraction form
    175,036.50/384,111 = 384,111/x
  3. Step 3: Cross multiply
    175,036.50x = 384,111 × 384,111
  4. Step 4: Simplify right side
    175,036.50x = 147,541,260,321
  5. Step 5: Solve for x
    x = 147,541,260,321/175,036.50
  6. Step 6: Final answer
    x = 842,917.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.