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Finding the Third Proportional to 170,742 and 258,460.50

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Solution

The third proportional to 170,742 and 258,460.50 is: 391,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742 : 258,460.50 = 258,460.50 : x
  2. Step 2: Convert to fraction form
    170,742/258,460.50 = 258,460.50/x
  3. Step 3: Cross multiply
    170,742x = 258,460.50 × 258,460.50
  4. Step 4: Simplify right side
    170,742x = 66,801,830,060.25
  5. Step 5: Solve for x
    x = 66,801,830,060.25/170,742
  6. Step 6: Final answer
    x = 391,244.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.