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Finding the Third Proportional to 93,308 and 201,352

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Solution

The third proportional to 93,308 and 201,352 is: 434,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,308 : 201,352 = 201,352 : x
  2. Step 2: Convert to fraction form
    93,308/201,352 = 201,352/x
  3. Step 3: Cross multiply
    93,308x = 201,352 × 201,352
  4. Step 4: Simplify right side
    93,308x = 40,542,627,904
  5. Step 5: Solve for x
    x = 40,542,627,904/93,308
  6. Step 6: Final answer
    x = 434,503.24

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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.