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Finding the Third Proportional to 169,014 and 259,810.50

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Solution

The third proportional to 169,014 and 259,810.50 is: 399,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,014 : 259,810.50 = 259,810.50 : x
  2. Step 2: Convert to fraction form
    169,014/259,810.50 = 259,810.50/x
  3. Step 3: Cross multiply
    169,014x = 259,810.50 × 259,810.50
  4. Step 4: Simplify right side
    169,014x = 67,501,495,910.25
  5. Step 5: Solve for x
    x = 67,501,495,910.25/169,014
  6. Step 6: Final answer
    x = 399,384.05

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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.