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Finding the Third Proportional to 169,110 and 260,023.50

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Solution

The third proportional to 169,110 and 260,023.50 is: 399,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,110 : 260,023.50 = 260,023.50 : x
  2. Step 2: Convert to fraction form
    169,110/260,023.50 = 260,023.50/x
  3. Step 3: Cross multiply
    169,110x = 260,023.50 × 260,023.50
  4. Step 4: Simplify right side
    169,110x = 67,612,220,552.25
  5. Step 5: Solve for x
    x = 67,612,220,552.25/169,110
  6. Step 6: Final answer
    x = 399,812.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.