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Finding the Third Proportional to 164,015.25 and 245,169

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Solution

The third proportional to 164,015.25 and 245,169 is: 366,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,015.25 : 245,169 = 245,169 : x
  2. Step 2: Convert to fraction form
    164,015.25/245,169 = 245,169/x
  3. Step 3: Cross multiply
    164,015.25x = 245,169 × 245,169
  4. Step 4: Simplify right side
    164,015.25x = 60,107,838,561
  5. Step 5: Solve for x
    x = 60,107,838,561/164,015.25
  6. Step 6: Final answer
    x = 366,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.