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Finding the Third Proportional to 93,520 and 202,588

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Solution

The third proportional to 93,520 and 202,588 is: 438,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,520 : 202,588 = 202,588 : x
  2. Step 2: Convert to fraction form
    93,520/202,588 = 202,588/x
  3. Step 3: Cross multiply
    93,520x = 202,588 × 202,588
  4. Step 4: Simplify right side
    93,520x = 41,041,897,744
  5. Step 5: Solve for x
    x = 41,041,897,744/93,520
  6. Step 6: Final answer
    x = 438,856.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.