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Finding the Third Proportional to 93,297 and 201,330

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Solution

The third proportional to 93,297 and 201,330 is: 434,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,297 : 201,330 = 201,330 : x
  2. Step 2: Convert to fraction form
    93,297/201,330 = 201,330/x
  3. Step 3: Cross multiply
    93,297x = 201,330 × 201,330
  4. Step 4: Simplify right side
    93,297x = 40,533,768,900
  5. Step 5: Solve for x
    x = 40,533,768,900/93,297
  6. Step 6: Final answer
    x = 434,459.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.