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Finding the Third Proportional to 170,650 and 229,729

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Solution

The third proportional to 170,650 and 229,729 is: 309,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,650 : 229,729 = 229,729 : x
  2. Step 2: Convert to fraction form
    170,650/229,729 = 229,729/x
  3. Step 3: Cross multiply
    170,650x = 229,729 × 229,729
  4. Step 4: Simplify right side
    170,650x = 52,775,413,441
  5. Step 5: Solve for x
    x = 52,775,413,441/170,650
  6. Step 6: Final answer
    x = 309,261.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.