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Finding the Third Proportional to 193,957.50 and 411,237

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Solution

The third proportional to 193,957.50 and 411,237 is: 871,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,957.50 : 411,237 = 411,237 : x
  2. Step 2: Convert to fraction form
    193,957.50/411,237 = 411,237/x
  3. Step 3: Cross multiply
    193,957.50x = 411,237 × 411,237
  4. Step 4: Simplify right side
    193,957.50x = 169,115,870,169
  5. Step 5: Solve for x
    x = 169,115,870,169/193,957.50
  6. Step 6: Final answer
    x = 871,922.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.