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Finding the Third Proportional to 144,758 and 322,726

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Solution

The third proportional to 144,758 and 322,726 is: 719,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,758 : 322,726 = 322,726 : x
  2. Step 2: Convert to fraction form
    144,758/322,726 = 322,726/x
  3. Step 3: Cross multiply
    144,758x = 322,726 × 322,726
  4. Step 4: Simplify right side
    144,758x = 104,152,071,076
  5. Step 5: Solve for x
    x = 104,152,071,076/144,758
  6. Step 6: Final answer
    x = 719,490.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.