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Finding the Third Proportional to 137,610 and 218,943

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Solution

The third proportional to 137,610 and 218,943 is: 348,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,610 : 218,943 = 218,943 : x
  2. Step 2: Convert to fraction form
    137,610/218,943 = 218,943/x
  3. Step 3: Cross multiply
    137,610x = 218,943 × 218,943
  4. Step 4: Simplify right side
    137,610x = 47,936,037,249
  5. Step 5: Solve for x
    x = 47,936,037,249/137,610
  6. Step 6: Final answer
    x = 348,347.05

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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.