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Finding the Third Proportional to 107,784 and 234,220

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Solution

The third proportional to 107,784 and 234,220 is: 508,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,784 : 234,220 = 234,220 : x
  2. Step 2: Convert to fraction form
    107,784/234,220 = 234,220/x
  3. Step 3: Cross multiply
    107,784x = 234,220 × 234,220
  4. Step 4: Simplify right side
    107,784x = 54,859,008,400
  5. Step 5: Solve for x
    x = 54,859,008,400/107,784
  6. Step 6: Final answer
    x = 508,971.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.