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Finding the Third Proportional to 218,308 and 338,118

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Solution

The third proportional to 218,308 and 338,118 is: 523,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,308 : 338,118 = 338,118 : x
  2. Step 2: Convert to fraction form
    218,308/338,118 = 338,118/x
  3. Step 3: Cross multiply
    218,308x = 338,118 × 338,118
  4. Step 4: Simplify right side
    218,308x = 114,323,781,924
  5. Step 5: Solve for x
    x = 114,323,781,924/218,308
  6. Step 6: Final answer
    x = 523,681.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.