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Finding the Third Proportional to 175,044.50 and 384,127

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Solution

The third proportional to 175,044.50 and 384,127 is: 842,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,044.50 : 384,127 = 384,127 : x
  2. Step 2: Convert to fraction form
    175,044.50/384,127 = 384,127/x
  3. Step 3: Cross multiply
    175,044.50x = 384,127 × 384,127
  4. Step 4: Simplify right side
    175,044.50x = 147,553,552,129
  5. Step 5: Solve for x
    x = 147,553,552,129/175,044.50
  6. Step 6: Final answer
    x = 842,948.81

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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.