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Finding the Third Proportional to 93,624 and 200,424

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Solution

The third proportional to 93,624 and 200,424 is: 429,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,624 : 200,424 = 200,424 : x
  2. Step 2: Convert to fraction form
    93,624/200,424 = 200,424/x
  3. Step 3: Cross multiply
    93,624x = 200,424 × 200,424
  4. Step 4: Simplify right side
    93,624x = 40,169,779,776
  5. Step 5: Solve for x
    x = 40,169,779,776/93,624
  6. Step 6: Final answer
    x = 429,054.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.