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Finding the Third Proportional to 93,432 and 219,346

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Solution

The third proportional to 93,432 and 219,346 is: 514,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,432 : 219,346 = 219,346 : x
  2. Step 2: Convert to fraction form
    93,432/219,346 = 219,346/x
  3. Step 3: Cross multiply
    93,432x = 219,346 × 219,346
  4. Step 4: Simplify right side
    93,432x = 48,112,667,716
  5. Step 5: Solve for x
    x = 48,112,667,716/93,432
  6. Step 6: Final answer
    x = 514,948.49

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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.