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Finding the Third Proportional to 93,430 and 219,341

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Solution

The third proportional to 93,430 and 219,341 is: 514,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,430 : 219,341 = 219,341 : x
  2. Step 2: Convert to fraction form
    93,430/219,341 = 219,341/x
  3. Step 3: Cross multiply
    93,430x = 219,341 × 219,341
  4. Step 4: Simplify right side
    93,430x = 48,110,474,281
  5. Step 5: Solve for x
    x = 48,110,474,281/93,430
  6. Step 6: Final answer
    x = 514,936.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.