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Finding the Third Proportional to 108,590 and 235,740

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Solution

The third proportional to 108,590 and 235,740 is: 511,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,590 : 235,740 = 235,740 : x
  2. Step 2: Convert to fraction form
    108,590/235,740 = 235,740/x
  3. Step 3: Cross multiply
    108,590x = 235,740 × 235,740
  4. Step 4: Simplify right side
    108,590x = 55,573,347,600
  5. Step 5: Solve for x
    x = 55,573,347,600/108,590
  6. Step 6: Final answer
    x = 511,772.24

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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.