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Finding the Third Proportional to 169,569.75 and 262,444.50

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Solution

The third proportional to 169,569.75 and 262,444.50 is: 406,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,569.75 : 262,444.50 = 262,444.50 : x
  2. Step 2: Convert to fraction form
    169,569.75/262,444.50 = 262,444.50/x
  3. Step 3: Cross multiply
    169,569.75x = 262,444.50 × 262,444.50
  4. Step 4: Simplify right side
    169,569.75x = 68,877,115,580.25
  5. Step 5: Solve for x
    x = 68,877,115,580.25/169,569.75
  6. Step 6: Final answer
    x = 406,187.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.