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Finding the Third Proportional to 137,323 and 218,518

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Solution

The third proportional to 137,323 and 218,518 is: 347,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,323 : 218,518 = 218,518 : x
  2. Step 2: Convert to fraction form
    137,323/218,518 = 218,518/x
  3. Step 3: Cross multiply
    137,323x = 218,518 × 218,518
  4. Step 4: Simplify right side
    137,323x = 47,750,116,324
  5. Step 5: Solve for x
    x = 47,750,116,324/137,323
  6. Step 6: Final answer
    x = 347,721.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.