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Finding the Third Proportional to 109,430 and 238,033

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Solution

The third proportional to 109,430 and 238,033 is: 517,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,430 : 238,033 = 238,033 : x
  2. Step 2: Convert to fraction form
    109,430/238,033 = 238,033/x
  3. Step 3: Cross multiply
    109,430x = 238,033 × 238,033
  4. Step 4: Simplify right side
    109,430x = 56,659,709,089
  5. Step 5: Solve for x
    x = 56,659,709,089/109,430
  6. Step 6: Final answer
    x = 517,771.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.