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Finding the Third Proportional to 108,596 and 235,888

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Solution

The third proportional to 108,596 and 235,888 is: 512,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,596 : 235,888 = 235,888 : x
  2. Step 2: Convert to fraction form
    108,596/235,888 = 235,888/x
  3. Step 3: Cross multiply
    108,596x = 235,888 × 235,888
  4. Step 4: Simplify right side
    108,596x = 55,643,148,544
  5. Step 5: Solve for x
    x = 55,643,148,544/108,596
  6. Step 6: Final answer
    x = 512,386.72

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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.