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Finding the Third Proportional to 93,290 and 201,322

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Solution

The third proportional to 93,290 and 201,322 is: 434,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,290 : 201,322 = 201,322 : x
  2. Step 2: Convert to fraction form
    93,290/201,322 = 201,322/x
  3. Step 3: Cross multiply
    93,290x = 201,322 × 201,322
  4. Step 4: Simplify right side
    93,290x = 40,530,547,684
  5. Step 5: Solve for x
    x = 40,530,547,684/93,290
  6. Step 6: Final answer
    x = 434,457.58

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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.