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Finding the Third Proportional to 169,125 and 260,046

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Solution

The third proportional to 169,125 and 260,046 is: 399,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,125 : 260,046 = 260,046 : x
  2. Step 2: Convert to fraction form
    169,125/260,046 = 260,046/x
  3. Step 3: Cross multiply
    169,125x = 260,046 × 260,046
  4. Step 4: Simplify right side
    169,125x = 67,623,922,116
  5. Step 5: Solve for x
    x = 67,623,922,116/169,125
  6. Step 6: Final answer
    x = 399,845.81

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Why These Related Problems?

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