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Finding the Third Proportional to 160,200 and 232,038

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Solution

The third proportional to 160,200 and 232,038 is: 336,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,200 : 232,038 = 232,038 : x
  2. Step 2: Convert to fraction form
    160,200/232,038 = 232,038/x
  3. Step 3: Cross multiply
    160,200x = 232,038 × 232,038
  4. Step 4: Simplify right side
    160,200x = 53,841,633,444
  5. Step 5: Solve for x
    x = 53,841,633,444/160,200
  6. Step 6: Final answer
    x = 336,090.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.