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Finding the Third Proportional to 193,946.91 and 301,011.19

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Solution

The third proportional to 193,946.91 and 301,011.19 is: 467,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,946.91 : 301,011.19 = 301,011.19 : x
  2. Step 2: Convert to fraction form
    193,946.91/301,011.19 = 301,011.19/x
  3. Step 3: Cross multiply
    193,946.91x = 301,011.19 × 301,011.19
  4. Step 4: Simplify right side
    193,946.91x = 90,607,735,000.16
  5. Step 5: Solve for x
    x = 90,607,735,000.16/193,946.91
  6. Step 6: Final answer
    x = 467,178.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.