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Finding the Third Proportional to 92,328.50 and 197,455

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Solution

The third proportional to 92,328.50 and 197,455 is: 422,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,328.50 : 197,455 = 197,455 : x
  2. Step 2: Convert to fraction form
    92,328.50/197,455 = 197,455/x
  3. Step 3: Cross multiply
    92,328.50x = 197,455 × 197,455
  4. Step 4: Simplify right side
    92,328.50x = 38,988,477,025
  5. Step 5: Solve for x
    x = 38,988,477,025/92,328.50
  6. Step 6: Final answer
    x = 422,279.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.